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Popular >

y^{''}+4y=2

Solution

y^{^{''}} + 4 y = 2

Solution

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{1}{2}

Solution steps

y^{''} (t) + 4 y = 2

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{1}{2}

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{1}{2}

Graph

Popular Examples

y^{''}+36y=24sin(6t)

y^{^{''}} + 36 y = 24 sin (6 t)

y^{'''}-9y^'=te^{-3t}+4cos(3t)

y^{^{'''}} - 9 y^{^{'}} = t e^{- 3 t} + 4 cos (3 t)

0.05y^{''}-0.3y^'+0.4y=11

0.05 y^{^{''}} - 0.3 y^{^{'}} + 0.4 y = 11

y^{^{''}} + 4 y = - 6

y^{''}+y=sec^2(t)

y^{^{''}} + y = sec^{2} (t)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+4y=2 ?
The solution for y^{''}+4y=2 is y=c_{1}cos(2t)+c_{2}sin(2t)+1/2