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Popular >

y^{''}+5^2y=0

Solution

y^{^{''}} + 5^{2} y = 0

Solution

y = c_{1} cos (5 t) + c_{2} sin (5 t)

Solution steps

y^{''} (t) + 5^{2} y = 0

Solve linear ODE:

y = c_{1} cos (5 t) + c_{2} sin (5 t)

y = c_{1} cos (5 t) + c_{2} sin (5 t)

Popular Examples

derivative of-1/2

\frac{d}{d x} (- \frac{1}{2})

(dy)/(dx)= y/x+2x+1

\frac{d y}{d x} = \frac{y}{x} + 2 x + 1

limit as x approaches infinity of \sqrt[x]{3^x+4^x}

derivative of 4-3x^2

\frac{d}{d x} (4 - 3 x^{2})

derivative of 4x^{5/4}+2x^{3/2}+4x derivative of

4 x^{\frac{5}{4}} + 2 x^{\frac{3}{2}} + 4 x

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+5^2y=0 ?
The solution for y^{''}+5^2y=0 is y=c_{1}cos(5t)+c_{2}sin(5t)