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Popular >

y^{''}-9y=1

Solution

y^{^{''}} - 9 y = 1

Solution

y = c_{1} e^{3 t} + c_{2} e^{- 3 t} - \frac{1}{9}

Solution steps

y^{''} (t) - 9 y = 1

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- 3 t} - \frac{1}{9}

y = c_{1} e^{3 t} + c_{2} e^{- 3 t} - \frac{1}{9}

Graph

Popular Examples

y^{''}-3y^'-4y=t^2,y(0)=1,y^'(0)=4

y^{^{''}} - 3 y^{^{'}} - 4 y = t^{2}, y (0) = 1, y^{^{'}} (0) = 4

y^{''}+9y=sin(3t),y(0)=1,y^'(0)=1

y^{^{''}} + 9 y = sin (3 t), y (0) = 1, y^{^{'}} (0) = 1

y^{'''}-7y^'-6y=26e^{-2x}cos(x)

y^{^{'''}} - 7 y^{^{'}} - 6 y = 26 e^{- 2 x} cos (x)

y^{''}-4y=20t-20e^{-2t},y(0)=0,y^'(0)=12

y^{^{''}} - 4 y = 20 t - 20 e^{- 2 t}, y (0) = 0, y^{^{'}} (0) = 12

y^{''}-2y^'-2y=5x-1+e^{4x}

y^{^{''}} - 2 y^{^{'}} - 2 y = 5 x - 1 + e^{4 x}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-9y=1 ?
The solution for y^{''}-9y=1 is y=c_{1}e^{3t}+c_{2}e^{-3t}-1/9