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Popular >

y^'=(xy)/2

Solution

y^{^{'}} = \frac{x y}{2}

Solution

y = e^{\frac{x ^{2}}{4} + c_{1}}

Solution steps

y^{'} (x) = \frac{x y}{2}

Solve separable ODE:

y = e^{\frac{x ^{2}}{4} + c_{1}}

y = e^{\frac{x ^{2}}{4} + c_{1}}

Popular Examples

integral from 0 to 1 of x^4e^{5x}

\int_{0}^{1} x^{4} e^{5 x} d x

integral of atan^2(θ)

\int a tan^{2} (θ) d θ

derivative of 4sqrt(x)+ln(x+1)

\frac{d}{d x} (4 x + ln (x + 1))

(dy}{dx}=\frac{6xsec(y/x)+y)/x

\frac{d y}{d x} = \frac{6 x sec ( \frac{y}{x} ) + y}{x}

limit as x approaches 0+of (tan(3x))x

x \to 0 + lim ((tan (3 x)) x)

Frequently Asked Questions (FAQ)

What is the solution for y^'=(xy)/2 ?
The solution for y^'=(xy)/2 is y=e^{(x^2)/4+c_{1}}