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Popular >

t(dy)/(dt)+5y=t

Solution

t \frac{d y}{d t} + 5 y = t

Solution

y = \frac{t}{6} + \frac{c _{1}}{t ^{5}}

Solution steps

t \frac{d y}{d t} + 5 y = t

Solve linear ODE:

y = \frac{t}{6} + \frac{c _{1}}{t ^{5}}

y = \frac{t}{6} + \frac{c _{1}}{t ^{5}}

Popular Examples

integral of (3x-1)/((3x^2-2x+1)^4)

\int \frac{3 x - 1}{( 3 x ^{2} - 2 x + 1 ) ^{4}} d x

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\frac{d}{d x} (\frac{I n x + 1}{I n x - 1})

integral from 0 to 1 of 1/2 e^{-2x}

\int_{0}^{1} \frac{1}{2} e^{- 2 x} d x

integral from-2 to 2 of 1/2 (16-x^4)

\int_{- 2}^{2} \frac{1}{2} (16 - x^{4}) d x

integral of cos(3x+4)

\int cos (3 x + 4) d x

Frequently Asked Questions (FAQ)

What is the solution for t(dy)/(dt)+5y=t ?
The solution for t(dy)/(dt)+5y=t is y= t/6+(c_{1})/(t^5)