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Differential Equations Math Calculus Series

10/05/21

converges or diverges?

Determine whether the series converges or divergessum from n=1 to infinity ((e^(1/n))/n)

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Differential Equations

10/05/21

Solve initial value problem...

(dy/dx)=(y cosx)/(1+2y2) , y(0) = 1

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Differential Equations Mathematics

10/02/21

how long does it take each to do the job alone??

A homeowner estimates that it will take him 5 days more than a professional roofer to repair the roof of his house. together they can do the job in 6 days.

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Differential Equations

09/29/21

zdsxfcgvhb jnkmlkjnhbgvfcdr

How to write an equation for the line passing through| (-3, -1) and (1, -4)

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Differential Equations Point Slope Form

09/27/21

What is the equation of the line that passes through the points (8,-3) and (6,-6)?

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Differential Equations

09/26/21

A student's average on three tests is 75. If the final is to count as two one-hour tests, what grade must the student make to bring the average up to 80

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Differential Equations

09/25/21

Solve the differential equation y'''+y'=secx

Solve:y'''+y'=secx[D1/W]·∫y1(x)f(x)+[D2/W]·∫y2(x)f(x)+[D3/W]·∫y3(x)f(x)

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Differential Equations

09/23/21

Estimate the age of the skull if the half-life of carbon-14 is about 5600 years.

Archaeologists believe the age of the skull to be the same age as the campfire. It is determined that only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.Estimate... more

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Differential Equations

09/23/21

Find an equation of the form y=f(x) for a curve with x-intercept 1 whose tangent line at any point (x,y) has slope x^(3)e^(-y).

Find an equation of the form y=f(x) for a curve with x-intercept 1 whose tangent line at any point (x,y) has slope x^(3)e^(-y). I have done dy/e^y=x^3dx then solving for y = ln(x^4/4)+C but am not... more

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Differential Equations

09/23/21

Estimate the age of the skull if the half-life of carbon-14 is about 5600 years.

Archaeologists believe the age of the skull to be the same age as the campfire. It is determined that only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.Estimate... more

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Answers •1

Differential Equations

09/20/21

Estimate the age of the skull if the half-life of carbon-14 is about 5600 years.

Archaeologists believe the age of the skull to be the same age as the campfire. It is determined that only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.Estimate... more

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Differential Equations

09/20/21

A culture of yeast grows at a rate proportional to its size. If the initial population is 2000 cells and it doubles after 3 hours, answer the following questions.

A culture of yeast grows at a rate proportional to its size. If the initial population is 2000 cells and it doubles after 3 hours, answer the following questions.1. Write an expression for the... more

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Differential Equations

09/20/21

Find an equation of the form y=f(x) for a curve with x-intercept 1 whose tangent line at any point (x,y) has slope x^(3)e^(-y).

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Answers •1

Differential Equations

09/20/21

Estimate the age of the skull if the half-life of carbon-14 is about 5600 years.

Archaeologists believe the age of the skull to be the same age as the campfire. It is determined that only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.Estimate... more

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Answers •1

Differential Equations Calculus

09/20/21

First Order DE Integration Factor Problem

Problem:y'+12yx^11=x^12Use P = ∫e^x^12dx wherever it occurs in your answer.

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Differential Equations

09/16/21

Differential equation

Solve the first order linear differential equationdy/dx + 2y = x-7. y(0)=0

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Differential Equations

09/16/21

Consider the differential equation y" − 2xy' + y = 0, y(0) = 0, y' (0) = 1. Assume a power series solution of the form

The Form ∞y =∑ anxn n=0Find the values of a5 and a7.

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Differential Equations

09/16/21

Consider the system of differential equations dx/dt=y dy/dt= 2x-y. Write the system in matrix form and find the eigenvalues and eigenvectors for the matrix.

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Differential Equations

09/16/21

Use the Laplace tables to find the inverse Laplace transform of 18/((s+3)(s^2+9)) .

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Differential Equations

09/16/21

Use the Laplace tables to find Laplace transform of 2 sin(3t) + t^4 .

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Differential Equations

09/14/21

How to find psi

Find solution in form psi(x,y) = 0(5xye^(xy) - 6y + 5e^(xy) - 7sin(x)cox(y)) dy/dx + (-10x + 5y^2e^(xy) - 7sin(y)cos(x))Could someone explain the process to finding the solution? Thank you.

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Differential Equations

09/12/21

exact vs non-exact D.E.

Classify the following equation as exact or not exact. (9x^2 -18xy - 2x - 5y^2 +1) dy/dx + (-24x^2 + 18xy - 7y^2 + 4y + 4) = 0From what i understand you take the partial m with respect to y for the... more

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Differential Equations

09/12/21

Use Laplace transforms to solve the initial value problem d^2y/dt^2 + dy/dt − 6y = 12e^−t , y(0) = 1, y'(0) = −2.

Use Laplace transforms to solve the initial value problemd^2y/dt^2 + dy/dt − 6y = 12e^−t , y(0) = 1, y'(0) = −2.

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Differential Equations

09/11/21

Coefficient of differential

Find a particular solution to each of the following equations trying a solution of the given form and solve for coefficients. dy/dt + 2y = sin(t). y(t) = Asin(t) + Bcos(t)For solution i found y =... more

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Differential Equations Calculus

09/10/21

Consider the following differential equation: dxdt=k(4−x)(1−x)

dx/dt = k(4-x)(1-x)Is this ordinary DE or partial DE? State the order? What are the independent variable(s)? What are the dependent variable(s)? If the equation is ordinary, is it linear or... more

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converges or diverges?

Solve initial value problem...

how long does it take each to do the job alone??

zdsxfcgvhb jnkmlkjnhbgvfcdr

What is the equation of the line that passes through the points (8,-3) and (6,-6)?

A student's average on three tests is 75. If the final is to count as two one-hour tests, what grade must the student make to bring the average up to 80

Solve the differential equation y'''+y'=secx

Estimate the age of the skull if the half-life of carbon-14 is about 5600 years.

Find an equation of the form y=f(x) for a curve with x-intercept 1 whose tangent line at any point (x,y) has slope x^(3)e^(-y).

Estimate the age of the skull if the half-life of carbon-14 is about 5600 years.

Estimate the age of the skull if the half-life of carbon-14 is about 5600 years.

A culture of yeast grows at a rate proportional to its size. If the initial population is 2000 cells and it doubles after 3 hours, answer the following questions.

Find an equation of the form y=f(x) for a curve with x-intercept 1 whose tangent line at any point (x,y) has slope x^(3)e^(-y).

Estimate the age of the skull if the half-life of carbon-14 is about 5600 years.

First Order DE Integration Factor Problem

Differential equation

Consider the differential equation y" − 2xy' + y = 0, y(0) = 0, y' (0) = 1. Assume a power series solution of the form

Consider the system of differential equations dx/dt=y dy/dt= 2x-y. Write the system in matrix form and find the eigenvalues and eigenvectors for the matrix.

Use the Laplace tables to find the inverse Laplace transform of 18/((s+3)(s^2+9)) .

Use the Laplace tables to find Laplace transform of 2 sin(3t) + t^4 .

How to find psi

exact vs non-exact D.E.

Use Laplace transforms to solve the initial value problem d^2y/dt^2 + dy/dt − 6y = 12e^−t , y(0) = 1, y'(0) = −2.

Coefficient of differential

Consider the following differential equation: dxdt=k(4−x)(1−x)

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