Find the solution of the following initial value problem:
y′′ + y = cost,
y(0) = 0,
y′(0) = 0.
Please show all steps and work clearly so I can follow your
logic and learn to solve similar ones myself. Will rate your
answer. Thank you kindly!
Elementary Differential Equations Problems:
1) Find the solution of the initial value
problem of y" + 3y' = 0, y(0) = -2, y'(0) = 3
2) Find the general solution of the equation
4y" - 9y = 0
3) Find the general solution of the equation
dy/dt = 2t(y – 2y2)
4) Given the second order linear homogeneous
equation y"- 2y' + y = 0,
a) Verify that y1(t) = e^t and
y2(t) = t e^t are solutions of the...