Solve the following problem:
y ''' − 2y '' + y ' = 2 − 24e^ x + 40e ^5x
y(0) = 1/2 , y' (0) = 5/2 , y'''(0) = − 9/2
BOTH LINES ARE PART OF A SYSTEM OF EQUATIONS
solve the given DE or IVP (Initial-Value Problem).
a. 2y′ + y cot x = 8y-1 cos3 x
b. y′ = sin2 (3x − 3y + 1)
c. xy′ + y ln x = y ln y
d. x2 dy/dx = y2 + 5xy +
4x2