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Popular >

(dy)/(dx)-xy=0

Solution

\frac{d y}{d x} - x y = 0

Solution

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

Solution steps

\frac{d y}{d x} - x y = 0

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)=2cos(x)y^3

\frac{d y}{d x} = 2 cos (x) y^{3}

integral from-2 to 3 of (47)/(x^4)

\int_{- 2}^{3} \frac{47}{x ^{4}} d x

(\partial)/(\partial t)(ln(t^2+1))

\frac{\partial}{\partial t} (ln (t^{2} + 1))

derivative of 1/(6x)derivative of

\frac{1}{6 x}

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

\frac{d}{d x} (\frac{3 x}{x ^{2} + 1})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)-xy=0 ?
The solution for (dy)/(dx)-xy=0 is y=e^{(x^2)/2+c_{1}}