If the solution of y' = 2(2x - y) passes through the point (0,1), determine x when y = 7.

Q: Find a real general solution 5x^2 y"+23xy′+16.2y=0

A: Consider y=xm and solve using this substitution to obtain the required general solution.

Q: Solve the equation y''' - y'' - 2y'= 0

A:

Q: Solve for y in two ways. y' - 5y = -3

A:

Q: Solve x = x + 2y and y = 2x + y with x(0) = 1 and y(0) = 2.

A:

Q: Solve y" +3y' + 2y = 0

A:

Q: Y= (10x; + x, } (5x, + x}} 15

A: We have to differentiate partially to this equation:

Q: Determine the solutions of: y^n  + 4y  = 0 y(-π) = y(π), y´(-π) = y´(π)

A: