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Popular Calculus >

y^'=yx

Solution

y^{^{'}} = y x

Solution

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

Solution steps

y^{'} (x) = y x

Solve separable ODE:

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

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

Graph

Popular Examples

limit as x approaches 0 of+(x^3+3)/x

x \to 0 lim (+ \frac{x ^{3} + 3}{x})

derivative of ln(3-x^2)

\frac{d}{d x} (ln (3 - x^{2}))

derivative of sqrt(24+x^2)

\frac{d}{d x} (24 + x^{2})

derivative of e^{(-1/x})

\frac{d}{d x} (e^{\frac{- 1}{x}})

limit as x approaches 0 of 10^x

x \to 0 lim (1 0^{x})

Frequently Asked Questions (FAQ)

What is the solution for y^'=yx ?
The solution for y^'=yx is y=e^{(x^2)/2+c_{1}}