1,279 Answered Questions for the topic differential equations

Differential Equations Calculus

12/03/21

Solve initial value problem...
solve initial value problem y''-2y'+2y=0, y(0)=2, y'(0)=0
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Differential Equations Calculus

12/02/21

Homogeneous Differencial Equation
[x-yarctan(y/x)]dx + [xarctan(y/x)]dy= 0
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Differential Equations

11/30/21

Finding the stationary points & stability of differential equations

For the following system of differential equations, find two stationary points and determine the stability of one of them (your choice).X' = XY - XY' = X - Y
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Differential Equations Calculus Mathematics

11/29/21

Differential equation
Consider x ≠ 0. Solve the differential equation2ydy/dx = 5+2x-2y² Determine the particular solution that passes through the point (0, √ 5) and the maximum range where it is defined.
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Differential Equations

11/29/21

Solve : (x²y² + 2)y dx + (2 - x²y²)x dy = 0
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Differential Equations

11/25/21

Solve the differential equation using power series
If the series y(x) = Σn=0 to infinity (Cn x^n) is a solution of the differential equation 3y''-3x^2y'+3y=0. A general solution of the same equation can be written as y(x) = C0y1(x) + C1y2(x),... more
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Differential Equations Calculus Linear Algebra De

11/25/21

solve the diffrential equation:
Solve the DEy''= ex (y')2
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Differential Equations Calculus Linear Algebra De

11/25/21

solve the DE (diffrential equation)
Solve the DE :x2y' − 4xy = x6 cos(x)
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Differential Equations Math Calculus

11/24/21

How to find a tangent equation when only given a curve equation and the x axis intercept of the tangent
The Equation of the curve is y = 3*sqrt(4x+1). I am told the tangent intercepts the x axis at x = -4. I need to find at what point the tangent equation will intercept the curve.
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Differential Equations

11/23/21

Take the Laplace transform -4 dy/dt - y = 0 y(0) = -8

Take the Laplace transform of the IVP -4 dy/dt - y = 0 y(0) = -8Take the Laplace transform of the IVP-4 dy/dt - y = 0 y(0) = -8I need to use Y for laplace transform of y( ) = Y{0}So Y = (-8) / (s -... more
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Differential Equations

11/23/21

Take the Laplace transform of the IVP -4 dy/dt - y = 0 y(0) = -8

Take the Laplace transform of the IVP-4 dy/dt - y = 0 y(0) = -8I need to use Y for laplace transform of y( ) = Y{0}So Y = (-8) / (s - 1/4 )and y(t) = -8e^(-t/4)I tried sY+8+1/4Y = Y{0} but it says... more
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Differential Equations

11/22/21

Take the Laplace transform of the IVP
-4 dy/dt - y = 0 y(0) = -8I need to use Y for laplace transform of y( ) = Y{0}So Y = (-8) / (s - 1/4 )and y(t) = -8e^(-t/4)I tried sY+8+1/4Y = Y{0} but it says I am incorrect
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Differential Equations

11/21/21

Take the Laplace transform of the IVP
-4 dy/dt - y = 0 y(0) = -8I need to use Y for laplace transform of y( ) = Y{0}So Y = ( ) / (s - )I found that y(t) = -8e^(-t/4)
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Differential Equations

11/20/21

Take the Laplace transform of the IVP
-4 dy/dt - y = 0 y(0) = -8I need to use Y for laplace transform of y( ) = Y{0}So Y = ( ) / (s - )I found that y(t) = -8e^(-t/4)
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Differential Equations

11/20/21

Take the Laplace transform of the IVP
-4 dy/dt - y = 0 y(0) = -8 I need to use Y for laplace transform of y ( ) = Y{0}So Y = ( ) / (s - ) and y(t) = -8e^(-t/4)
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Differential Equations

11/20/21

Use the Laplace transform to solve the following initial value problem
Use the Laplace transform to solve the following initial value problem: y" - 4y' +29y = 0 y(0) = 0, y'(0) = 5I have found the equation s^2Y - s:0 - 5 - 4(sY - 0) + 29Y = 0 I know y(t) is... more
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Differential Equations

11/20/21

Take the Laplace transform of the IVP
This is my equation, dy/dt - y = -10cos(kt), y(0)=3 I need to find what Y is and then what y(t) isI know the right hand side is -10 * s/(s^2+k^2)
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Differential Equations

11/20/21

Laplace Transform of IVP
I have this equation(d^2y/dt^2) + k^2y = e^(1t) , y(0 = 0, y'(0) = 0I need to simplify Y, so far I have this:s^2Y+k^2Y = 1/(s-1)Y = (1) / (s-1)(s^2+k^2)I need to get Y in simpler forms= ( ) / (s-1)... more
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Differential Equations

11/19/21

Laplace Transform of IVP

I have this equation (d^2y/dt^2) + k^2y = e^(1t) , y(0 = 0, y'(0) = 0 I need to simplify Y, so far I have this: s^2Y+k^2Y = 1/(s-1)Y = (1) / (s-1)(s^2+k^2) I need to get Y in simpler forms = ( ... more
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Differential Equations

11/19/21

Laplace Transform using initial conditions

I have w" + w = t^2 + 2 with w(0) = 1, and w'(0) = -1 I was able to figure out that w(t) = t^2 + cos(t) - sin(t) but I cannot figure out what W(s) is I thought it was = (2/s^3) + 2/s but it says I... more
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Differential Equations Math Calculus

11/19/21

Find constants from given particular solution of a DE
Give DE: x2y'' + bxy' + cy=0, find b and c such that 5x7ln(x) is a particular solutionb) Given x2y'' + bxy' + cy= 6x11 for the values of b and c from part a), find a particular solution
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Differential Equations Math Calculus

11/19/21

General solution to given DE
Which of the following is the general solution of some DE of the form: y''' +by'' +cy' +dy=0where b,c,d are real constants:a) C1 + C2.t + C3(5t+1)b) C1.cos(t) + C2.sin(t) + C3c) C1.e^(3t).cos(2t) +... more
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Differential Equations Calculus Derivative Calc

11/15/21

Compute the differential dy for y=−9x^6−9x4
Compute the differential dy for y=−9x^6−9x^4dy = ?
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Differential Equations Calculus Functions Derivative

11/15/21

If x2+y2=64 and dx/dt=5, find dy/dt when y is positive and
If x^2+y^2=64 and dx/dt = 5, find dy/dt when y is positive and...a) x=0b) x=1c) x=4
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Differential Equations

11/10/21

Using matrix algebra, find a general solution to the following system of equations x' = 3x - 4y and y' = 4x - 7y

Using matrix algebra, find a general solution to the following system of equations: x' = 3x - 4y y' = 4x - 7y The general solution functions are: ( use c1 and c2 as the constants and enter the... more
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