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Popular Calculus >

y^'=-ty

Solution

y^{^{'}} = - t y

Solution

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

Solution steps

y^{'} (t) = - t y

Solve separable ODE:

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

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

Graph

Popular Examples

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x \to 7 lim (\frac{( x ^{2} - 2 x - 35 )}{x - 7})

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x \to 0 lim (\frac{1 ^{x} - 9 ^{x}}{x})

(\partial)/(\partial x)(x^2+2y^2-x^2y)

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

Frequently Asked Questions (FAQ)

What is the solution for y^'=-ty ?
The solution for y^'=-ty is y=e^{-(t^2)/2+c_{1}}