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Popular >

y^'=xy

Solution

y^{^{'}} = x y

Solution

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

Solution steps

y^{'} (x) = x y

Solve separable ODE:

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

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

Popular Examples

derivative of 7x^2-12x

\frac{d}{d x} (7 x^{2} - 12 x)

derivative of sqrt(3/2 x-5)

\frac{d}{d x} (\frac{3}{2} x - 5)

derivative of \sqrt[9]{x^8}-x^pi derivative of

limit as x approaches 0 of (|6x|)/(3x)

x \to 0 lim (\frac{∣ 6 x ∣}{3 x})

y^{'''}-2y^{''}+2y^'=0

y^{^{'''}} - 2 y^{^{''}} + 2 y^{^{'}} = 0

Frequently Asked Questions (FAQ)

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