1,279 Answered Questions for the topic differential equations

Differential Equations

10/15/21

In this problem you will use undetermined coefficients to solve the nonhomogeneous equation y′′+4y′+4y=12te−2t−(8t+12) with initial values y(0)=−2 and y′(0)=1.

Write the form of the particular solution and its derivatives. (Use A, B, C, etc. for undetermined coefficients. FindY =Y' =Y" =
Differential Equations

10/15/21

Find y_p and the specific solution for y"-3y'-4y=3e^(2t) with y(0)=0 and y'(0)=0

Find y_p and the specific solution for y"-3y'-4y=3e^(2t) with y(0)=0 and y'(0)=0
Differential Equations

10/11/21

In this problem you will use undetermined coefficients to solve the nonhomogeneous equation y′′+4y′+4y=12te−2t−(8t+12) with initial values y(0)=−2andy′(0)=1.

In this problem, you will use undetermined coefficients to solve the nonhomogeneous equation y"+4y'+4y=12te^(-2t)-(8t+12) with initial values y(0)=-2 and y'(0)=1.  Write the form of the particular... more
Differential Equations Math Calculus

10/08/21

How could I solve it? someone help me with the integration limits, please

find all solutionsy'+2y=b(x) 1 − |x|, if |x| ≤ 1 b(x) = 0, if |x| > 1using this formulay = e-2x∫ e2xb(x)dxHow could I solve it? someone help me with the... more
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)
Differential Equations

10/05/21

Solve initial value problem...

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

09/29/21

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

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)
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
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
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
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
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
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). 

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). 
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
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.
Differential Equations

09/16/21

Differential equation

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

09/16/21

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

Differential Equations

09/16/21

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

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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