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Popular >

y^'=-y

Solution

y^{^{'}} = - y

Solution

y = e^{- t + c_{1}}

Solution steps

y^{'} (t) = - y

Solve separable ODE:

y = e^{- t + c_{1}}

y = e^{- t + c_{1}}

Popular Examples

derivative of (x^6)/(5-x^5)derivative of

\frac{x ^{6}}{5 - x ^{5}}

integral of 1/(sqrt(25x^2-4))

\int \frac{1}{25 x ^{2} - 4} d x

(\partial)/(\partial y)(e^xsin(y)+3y)

\frac{\partial}{\partial y} (e^{x} sin (y) + 3 y)

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

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

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

\int \frac{x ^{2} + 1}{x ^{3}} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=-y ?
The solution for y^'=-y is y=e^{-t+c_{1}}