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Popular >

t(dy)/(dt)+2y=t^2

Solution

t \frac{d y}{d t} + 2 y = t^{2}

Solution

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

Solution steps

t \frac{d y}{d t} + 2 y = t^{2}

Solve linear ODE:

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

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

Graph

Popular Examples

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\int_{1}^{9} \frac{3 x - 2}{x} d x

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ln (e^{- x} + x e^{- x})

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\frac{d}{d x} (\frac{2 x - 5}{3 x + 1})

integral of sec^3(5x)tan^2(5x)

\int sec^{3} (5 x) tan^{2} (5 x) d x

\frac{d y}{d x} = y

Frequently Asked Questions (FAQ)

What is the solution for t(dy)/(dt)+2y=t^2 ?
The solution for t(dy)/(dt)+2y=t^2 is y=(t^2)/4+(c_{1})/(t^2)