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Popular >

y^{''}+c^2y=0

Solution

y^{^{''}} + c^{2} y = 0

Solution

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

Solution steps

y^{''} (t) + c^{2} y = 0

Solve linear ODE:

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

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

Graph

Popular Examples

x^{''}+1536/25 x=0

x^{^{''}} + \frac{1536}{25} x = 0

10y^{''}+40y^'+240y=0

10 y^{^{''}} + 40 y^{^{'}} + 240 y = 0

x^{''}+2x^'+3x=0,x(0)=1,x^'(0)=0

x^{^{''}} + 2 x^{^{'}} + 3 x = 0, x (0) = 1, x^{^{'}} (0) = 0

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

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

y^{''}+9y=0,y(0)=2,y^'(0)=4

y^{^{''}} + 9 y = 0, y (0) = 2, y^{^{'}} (0) = 4

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+c^2y=0 ?
The solution for y^{''}+c^2y=0 is y=c_{1}cos(ct)+c_{2}sin(ct)