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Popular >

(dy)/(dx)=-3xe^y

Solution

\frac{d y}{d x} = - 3 x e^{y}

Solution

y = - ln (\frac{3 x ^{2}}{2} - c_{1})

Solution steps

\frac{d y}{d x} = - 3 x e^{y}

Solve separable ODE:

y = - ln (\frac{3 x ^{2}}{2} - c_{1})

y = - ln (\frac{3 x ^{2}}{2} - c_{1})

Graph

Popular Examples

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

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

\frac{d v}{d t} = 8 - 3 v

(y^2+2y-3)dx+(4xy+4x)dy=0

(y^{2} + 2 y - 3) d x + (4 x y + 4 x) d y = 0

(dy)/(dx)=-3/5 x^5y^7

\frac{d y}{d x} = - \frac{3}{5} x^{5} y^{7}

y^'=6xy-5x,y(0)=1

y^{^{'}} = 6 x y - 5 x, y (0) = 1

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-3xe^y ?
The solution for (dy)/(dx)=-3xe^y is y=-ln((3x^2)/2-c_{1})