1,272 Answered Questions for the topic differential equations

Differential Equations

03/20/21

Use LaPlace transformation to solve the following initial value problem.

Express as a function of t.y'' + 6y' + 5y = 24e^t y(0) = 2 y'(0) = 6
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Differential Equations

03/20/21

Given that a is a constant, use power series to find a solution of the following initial value problem.
Give first 4 non-zero terms: y'' + xy' + y = 0 y(0) = a y'(0) = 0
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Differential Equations Math Algebra 1 Physics

03/20/21

if i have a point (8,-3) that has a slope of -1/4 then how do i write that in standard form? PLS HELP
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Differential Equations Mathematics

03/20/21

SOLVE THE FOLLOWING DE:
y''+7y'+10y=4xe^{-3x} HERE y(0)=0, y'(0)=-1
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Differential Equations

03/18/21

Which equation represents a line that has a slope of 1/2 and contains the point (0,3)?
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Differential Equations First Degree Order Variables Separable

03/18/21

Finding the particular solution of first degree order of DE using variables separable
1.) xyy' - y^2 = 0 ; when x = 2, y = 12.) cosy dx = xdy ; when x = 1, y = 1
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Differential Equations Math Calculus

03/17/21

Differential Equations Application (Newton's law of cooling)
Let T (t) denote the temperature of an object after t minutes and let Ts denote the temperature of its surroundings. Newton’s Law of Cooling states that dT/dt = k (T − Ts), where k is a constant.... more
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Differential Equations

03/17/21

Solve the equation: (1 − 𝑥)^3/2 = 8

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Differential Equations

03/15/21

Solve Application with system of Equations

Chance has some quarters and dimes. He has 19 coins worth a total of $2.65. How many of each type of coin does he have?
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Differential Equations Derivative Logarithm

03/14/21

Use logarithmic differentiation to calculate the derivative of f(x) = (1 + x)^(sin^2 x)
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Differential Equations

03/13/21

how to solve this equation
If 6a *2b=3x what is 2a+b?
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Differential Equations

03/11/21

the permiter of a rectangle ?
the permiter of a rectangle is found using the fórmula P=2I+ 2w. What is the perimeter of a rectangle picture frame with dimensions 2.5 inches by 3.5 inches ?
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Differential Equations

03/11/21

Equation in point slope form
A line passes through the point (-2,8) and has a slope 3
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Differential Equations Calculus

03/10/21

use the differential equation given by dy/dx = xy/3 , y > 0. (help needed)

For Questions 1–3, use the differential equation given by  , y > 0.Complete the table of values2.) On the axes below, sketch a slope field for the given differential equation using the nine... more
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Differential Equations Math Algebra 2 Exponents

03/10/21

a)what is the number of complex roots b)possible number of real positive and real negative roots C) possible number of rational roots for the equation x^4+x^3-4x^2+2x-5=0
number of complex roots includes real roots and imaginary roots
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Differential Equations

03/09/21

solve (x^3*y^3+x^2*y^2+xy+1)ydx + (x^3*y^3-x^2*y^2-xy+1)xdy=0
solve (x^3*y^3+x^2*y^2+xy+1)ydx + (x^3*y^3-x^2*y^2-xy+1)xdy=0
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Differential Equations Math Calculus

03/09/21

use the differential equation given by dy/dx = xy/3 , y > 0. (please help)
For Questions 1–3, use the differential equation given by  , y > 0.Complete the table of values2.) On the axes below, sketch a slope field for the given differential equation using the nine... more
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Differential Equations

03/09/21

solve (x^3*y^3+x^2*y^2+xy+1)ydx + (x^3*y^3-x^2*y^2-xy+1)xdy=0
solve (x^3*y^3+x^2*y^2+xy+1)ydx + (x^3*y^3-x^2*y^2-xy+1)xdy=0
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Differential Equations Physics

03/08/21

Motion through the center of the Earth.

Imagine there is a hole drilled through the center of the Earth. We drop an object of mass m through hole so at time t=0 the distance of the object from the Earth's center is R (radius of Earth).... more
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Differential Equations Physics

03/08/21

Equation for voltage across capacitor of initial charge Q0 in RC circuit after switch is closed.

We have a circuit with a capacitor C and resistor R with a switch which is open at time t=0. The capacitor has an initial charge of Q0. What is the voltage across the capacitor as a function of... more
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Differential Equations Geometry

03/07/21

a point moves so that the product of it's directed distances from the lines 3x-4y+1=0 and 3x+4y-7=0 is 144. find the equation of it's locus, sketch the curve

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Differential Equations

03/07/21

Find the general solution to y′′′+12y′′+61y′=0. In your answer, use c1,c2 and c3 to denote arbitrary constants and x the independent variable. Enter the solution as an equation y=?.
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Differential Equations Math

03/06/21

Urgent help for math differential equations

Consider the equation y′′′ + y′′ = 3e^x+ 4x^2.(a) Is yc = c1 + c2x + c3e^x or yc = c1 + c2x + c3e^−x complimentary solutions to the homogeneous equation associated with the given non-homogeneous... more
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Differential Equations

03/04/21

Solve the differential equation dx/dt = 9x^4, and find the particular solution satisfying the initial condition x(0)=1/2. x(t)=
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Differential Equations

03/04/21

Quadratic equations
the lenght of the base of triangle is twice its height if the area of the triangle is 9 square kilometers find the height
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