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Popular >

(dy)/(dt)+ty=y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

slope ofintercept (-3,1),(2,-14)slope intercept

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(\partial)/(\partial y)(2xy-sec^2(x))

\frac{\partial}{\partial y} (2 x y - sec^{2} (x))

simplify-2 simplify

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tangent of 2x^2+x tangent of

2 x^{2} + x

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

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

Frequently Asked Questions (FAQ)

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