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Popular >

y^{''}+y=10

Solution

y^{^{''}} + y = 10

Solution

y = c_{1} cos (t) + c_{2} sin (t) + 10

Solution steps

y^{''} (t) + y = 10

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + 10

y = c_{1} cos (t) + c_{2} sin (t) + 10

Popular Examples

4y^{''}+y=e^{-2t}cos(t/2)+6tsin(t/2)

4 y^{^{''}} + y = e^{- 2 t} cos (\frac{t}{2}) + 6 t sin (\frac{t}{2})

linear y^{''''}-2y^{'''}+y^{''}=t^3 linear

y^{^{''''}} - 2 y^{^{'''}} + y^{^{''}} = t^{3}

y^{^{''}} - y - x = 0

(D^2+2)y=e^{x+2}

(D^{2} + 2) y = e^{x + 2}

(D^2-4D+4)y=e^x+x^2+cos(2x)

(D^{2} - 4 D + 4) y = e^{x} + x^{2} + cos (2 x)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y=10 ?
The solution for y^{''}+y=10 is y=c_{1}cos(t)+c_{2}sin(t)+10