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Popular >

x^{''}+36x=0

Solution

x^{^{''}} + 36 x = 0

Solution

x = c_{1} cos (6 t) + c_{2} sin (6 t)

Solution steps

x^{''} (t) + 36 x = 0

Solve linear ODE:

x = c_{1} cos (6 t) + c_{2} sin (6 t)

x = c_{1} cos (6 t) + c_{2} sin (6 t)

Popular Examples

y^{''}+4y^'+2y=0,y^'(0)=1,y(0)=0

y^{^{''}} + 4 y^{^{'}} + 2 y = 0, y^{^{'}} (0) = 1, y (0) = 0

linear (d^2y)/(dx^2)-13(dy)/(dx)+12y=0 linear

\frac{d ^{2} y}{d x ^{2}} - 13 \frac{d y}{d x} + 12 y = 0

-2y^{''}-2*pi^2y=0

- 2 y^{^{''}} - 2 \cdot π^{2} y = 0

y^{''}+6y^'+9y=0,y(0)=4,y^'(0)=1

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = 4, y^{^{'}} (0) = 1

(d^2x)/(dt^2)-2(dx)/(dt)-15x=0

\frac{d ^{2} x}{d t ^{2}} - 2 \frac{d x}{d t} - 15 x = 0

Frequently Asked Questions (FAQ)

What is the solution for x^{''}+36x=0 ?
The solution for x^{''}+36x=0 is x=c_{1}cos(6t)+c_{2}sin(6t)