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Popular >

(x^2+3)(dy)/(dx)=xy

Solution

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

Solution

y = c_{1} x^{2} + 3

Solution steps

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

Solve separable ODE:

y = c_{1} x^{2} + 3

y = c_{1} x^{2} + 3

Popular Examples

integral of (2x^3+4x^2-5)/(x+3)

\int \frac{2 x ^{3} + 4 x ^{2} - 5}{x + 3} d x

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

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

derivative of 3x^4-4x^3-12x^2+5

\frac{d}{d x} (3 x^{4} - 4 x^{3} - 12 x^{2} + 5)

derivative of sin((pix/9))

\frac{d}{d x} (sin (\frac{π x}{9}))

(\partial)/(\partial x)(xye^{-8y})

\frac{\partial}{\partial x} (x y e^{- 8 y})

Frequently Asked Questions (FAQ)

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