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Popular >

y^{''}+9y=1

Solution

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

Solution

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{1}{9}

Solution steps

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

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{1}{9}

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{1}{9}

Graph

Popular Examples

u^{''}-a*\H(x)=x,u^'(-1)=0,u^'(1)=0

u^{^{''}} - a \cdot H (x) = x, u^{^{'}} (- 1) = 0, u^{^{'}} (1) = 0

y^{''}+4y=e^{3t},y(0)=0,y^'(0)=0

y^{^{''}} + 4 y = e^{3 t}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+a^2y=cos(bt)

y^{^{''}} + a^{2} y = cos (b t)

y^{''}-12y^'+36y=7+2x

y^{^{''}} - 12 y^{^{'}} + 36 y = 7 + 2 x

y^{''}-2y^'+y=e^2x

y^{^{''}} - 2 y^{^{'}} + y = e^{2} x

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+9y=1 ?
The solution for y^{''}+9y=1 is y=c_{1}cos(3t)+c_{2}sin(3t)+1/9