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Popular >

2y^{''}+50y=0

Solution

2 y^{^{''}} + 50 y = 0

Solution

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

Solution steps

2 y^{''} (t) + 50 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

integral of 1-(2x)/(x^2+1)

\int 1 - \frac{2 x}{x ^{2} + 1} d x

integral of (x^3-2x^4+x^5)/2

\int \frac{x ^{3} - 2 x ^{4} + x ^{5}}{2} d x

derivative of 3tan(x)derivative of

3 tan (x)

tangent of f(x)=12sqrt(x),(9,36)tangent of

f (x) = 12 x, (9, 36)

sum from n=0 to infinity of 1/2*(-1)^n

n = 0 \sum \infty \frac{1}{2} \cdot (- 1)^{n}

Frequently Asked Questions (FAQ)

What is the solution for 2y^{''}+50y=0 ?
The solution for 2y^{''}+50y=0 is y=c_{1}cos(5t)+c_{2}sin(5t)