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Popular >

y^'-2/t y=t^3

Solution

y^{^{'}} - \frac{2}{t} y = t^{3}

Solution

y = \frac{t ^{4}}{2} + c_{1} t^{2}

Solution steps

y^{'} (t) - \frac{2}{t} y = t^{3}

Solve linear ODE:

y = \frac{t ^{4}}{2} + c_{1} t^{2}

y = \frac{t ^{4}}{2} + c_{1} t^{2}

Popular Examples

integral of 20+75e^{-t/(50)}

\int 20 + 75 e^{- \frac{t}{50}} d t

laplacetransform t*cos(pi*t)laplace transform

t \cdot cos (π \cdot t)

y^'+2y=3sin(e^{2x})

y^{^{'}} + 2 y = 3 sin (e^{2 x})

sum from n=1 to infinity}((2^{2n of n!))/(2n+1)

n = 1 \sum \infty \frac{( 2 ^{2 n} n ! )}{2 n + 1}

laplacetransform e^{-3t}*sin(t)laplace transform

e^{- 3 t} \cdot sin (t)

Frequently Asked Questions (FAQ)

What is the solution for y^'-2/t y=t^3 ?
The solution for y^'-2/t y=t^3 is y=(t^4)/2+c_{1}t^2