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Popular >

(dx)/(dy)=xy

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

derivative of-csc(x-sin(x))

\frac{d}{d x} (- csc (x) - sin (x))

integral of 5sin^3(9x)

\int 5 sin^{3} (9 x) d x

(\partial)/(\partial y)(4xy-2e^{2x+y})

\frac{\partial}{\partial y} (4 x y - 2 e^{2 x + y})

limit as h approaches 0 of (-4)^2+2(-4)

h \to 0 lim ((- 4)^{2} + 2 (- 4))

integral of (x^2)/(sqrt(21+4x-x^2))

\int \frac{x ^{2}}{21 + 4 x - x ^{2}} d x

Frequently Asked Questions (FAQ)

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