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Popular >

t(dy)/(dt)+ty=1-y

Solution

t \frac{d y}{d t} + t y = 1 - y

Solution

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

Solution steps

t \frac{d y}{d t} + t y = 1 - y

Solve linear ODE:

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

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

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Frequently Asked Questions (FAQ)

What is the solution for t(dy)/(dt)+ty=1-y ?
The solution for t(dy)/(dt)+ty=1-y is y= 1/t+(c_{1})/(e^tt)