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Popular >

(dy)/(dx)=-3xy

Solution

\frac{d y}{d x} = - 3 x y

Solution

y = e^{- \frac{3 x ^{2}}{2} + c_{1}}

Solution steps

\frac{d y}{d x} = - 3 x y

Solve separable ODE:

y = e^{- \frac{3 x ^{2}}{2} + c_{1}}

y = e^{- \frac{3 x ^{2}}{2} + c_{1}}

Popular Examples

derivative of (x^2-2x+1(1-3x^{-5}))

\frac{d}{d x} ((x^{2} - 2 x + 1) (1 - 3 x^{- 5}))

derivative of (x-2(x+1)(x+2))

\frac{d}{d x} ((x - 2) (x + 1) (x + 2))

derivative of F(x)=(7x^6+2x^3)^4 derivative of

F (x) = (7 x^{6} + 2 x^{3})^{4}

(\partial)/(\partial x)(sin^2(x^3e^y))

\frac{\partial}{\partial x} (sin^{2} (x^{3} e^{y}))

integral of 1/(81e^{-8x)+e^{8x}}

\int \frac{1}{81 e ^{- 8 x} + e ^{8 x}} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-3xy ?
The solution for (dy)/(dx)=-3xy is y=e^{-(3x^2)/2+c_{1}}