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Popular >

y^'=3xy

Solution

y^{^{'}} = 3 x y

Solution

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

Solution steps

y^{'} (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}}

Graph

Popular Examples

(dy)/(dx)+3x^2y=5x^2

\frac{d y}{d x} + 3 x^{2} y = 5 x^{2}

(dy)/(dx)= 1/3 sqrt(y)cos^2(sqrt(y))

\frac{d y}{d x} = \frac{1}{3} y cos^{2} (y)

2(dy}{dx}=\frac{y(x+1))/x

2 \frac{d y}{d x} = \frac{y ( x + 1 )}{x}

sqrt(x-1)(dy)/(dx)= x/y

x - 1 \frac{d y}{d x} = \frac{x}{y}

(dy)/(dx)=(y-1)/(x+3)

\frac{d y}{d x} = \frac{y - 1}{x + 3}

Frequently Asked Questions (FAQ)

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