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Popular >

18y^{''}+72y=0

Solution

18 y^{^{''}} + 72 y = 0

Solution

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

Solution steps

18 y^{''} (t) + 72 y = 0

Solve linear ODE:

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

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

Popular Examples

10x^{''}+1/90 x=0,x(0)=100,x^'(0)=25

10 x^{^{''}} + \frac{1}{90} x = 0, x (0) = 100, x^{^{'}} (0) = 25

(d^2y)/(dx^2)+6(dy)/(dx)+8y=0

\frac{d ^{2} y}{d x ^{2}} + 6 \frac{d y}{d x} + 8 y = 0

6y^{''}+35y=0,y(0)=3,y^'(0)=8

6 y^{^{''}} + 35 y = 0, y (0) = 3, y^{^{'}} (0) = 8

16 y^{^{''''}} = y

3y^{''}+10y^'-8y=0

3 y^{^{''}} + 10 y^{^{'}} - 8 y = 0

Frequently Asked Questions (FAQ)

What is the solution for 18y^{''}+72y=0 ?
The solution for 18y^{''}+72y=0 is y=c_{1}cos(2t)+c_{2}sin(2t)