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Popular >

x^{''}+c^2*x=0

Solution

x^{^{''}} + c^{2} \cdot x = 0

Solution

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

Solution steps

x^{''} (t) + c^{2} \cdot x = 0

Solve linear ODE:

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

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

Popular Examples

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

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

a(d^2y)/(dx^2)+yb^2=0

a \frac{d ^{2} y}{d x ^{2}} + y b^{2} = 0

y^{''}+48/2 y=0

y^{^{''}} + \frac{48}{2} y = 0

y^{''}-y^'+0.25y=0,y(0)=2,y^'(0)=2

y^{^{''}} - y^{^{'}} + 0.25 y = 0, y (0) = 2, y^{^{'}} (0) = 2

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

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

Frequently Asked Questions (FAQ)

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