Solve the given differential equation by separation of variables. exy dy =e-¯V + e-8x - y dx

Q: Find a differential equation whose general solution is y = c₁e²t + C₂e-2.

A: Note: Your general solution should be: .The differential equation for this general solution needs to…

Q: 4. (y' — 5у) %3 х?е* — х е5x

A: According to question, Given differential equation, y'-5y = x2ex-xe5x.

Q: Solve the given differential equation by undetermined coefficients. begin mathsize 16px style y…

A: The solution is shown below-

Q: (2xy + x)dy – [x² + y² + y + 1]dx = 0 When:x = 1; y = 0

A:

Q: Solve the differential equation  4yp2-2px-y=0

A: Given: The differential equation, 4yp2-2px-y=0   To solve: The given differential equation.

Q: Find the differential equation given the general solution: y = cer + Czex + 3x

A:

Q: Determine the order of the differential equation + x²y = xex. dx A. 0 B. 1 C. 2 D. 3

A:

Q: dy 2х-5у+3 %3D dx 2x+4у-6 II

A: Given: dydx=2x-5y+32x+4y-6

Q: dy = -y + 2 with the initial value y(0) = -2 dx

A: Explanation of the answer is as follows

Q: solve the differential equation dy/dx = 4xsec y

A: