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Popular >

y^'=e^{3x}y^2

Solution

y^{^{'}} = e^{3 x} y^{2}

Solution

y = - \frac{3}{e ^{3 x} + c _{1}}

Solution steps

y^{'} (x) = e^{3 x} y^{2}

Solve separable ODE:

y = - \frac{3}{e ^{3 x} + c _{1}}

y = - \frac{3}{e ^{3 x} + c _{1}}

Graph

Popular Examples

(dy}{dx}=\frac{y-900)/2

\frac{d y}{d x} = \frac{y - 900}{2}

(x^2-1)y^'+xy(1-y)=0

(x^{2} - 1) y^{^{'}} + x y (1 - y) = 0

(dx)/(dt)=e^xtcos(t)

\frac{d x}{d t} = e^{x} t cos (t)

(dy)/(dx)+9x^2y=27x^2

\frac{d y}{d x} + 9 x^{2} y = 27 x^{2}

(dx)/(dt)=18-18/100 x

\frac{d x}{d t} = 18 - \frac{18}{100} x

Frequently Asked Questions (FAQ)

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