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Popular >

y^'-6y^2e^x=y^2

Solution

y^{^{'}} - 6 y^{2} e^{x} = y^{2}

Solution

y = - \frac{1}{x + 6 e ^{x} + c _{1}}

Solution steps

y^{'} (x) - 6 y^{2} e^{x} = y^{2}

Solve separable ODE:

y = - \frac{1}{x + 6 e ^{x} + c _{1}}

y = - \frac{1}{x + 6 e ^{x} + c _{1}}

Popular Examples

y^'=-y/x ,y(e)=e

y^{^{'}} = - \frac{y}{x}, y (e) = e

(dy}{dx}=\frac{cos(x))/y ,y(pi/2)=5

\frac{d y}{d x} = \frac{cos ( x )}{y}, y (\frac{π}{2}) = 5

derivative of xcos(y)=5

\frac{d}{d x} (x cos (y)) = 5

(dy)/(dx)=(xe^y),y(0)=1

\frac{d y}{d x} = (x e^{y}), y (0) = 1

y^'=4x^2+x^2y^2

y^{^{'}} = 4 x^{2} + x^{2} y^{2}

Frequently Asked Questions (FAQ)

What is the solution for y^'-6y^2e^x=y^2 ?
The solution for y^'-6y^2e^x=y^2 is y=-1/(x+6e^x+c_{1)}