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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

integral of (x+2x^2)/(sqrt(x))

\int \frac{x + 2 x ^{2}}{x} d x

derivative of x^2arctan(7x)

\frac{d}{d x} (x^{2} arctan (7 x))

integral of (6x-1)/(x^3+4x)

\int \frac{6 x - 1}{x ^{3} + 4 x} d x

integral of 5x^3e^x

\int 5 x^{3} e^{x} d x

derivative of y=ln(sqrt(x+1))derivative of

y = ln (x + 1)

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}}