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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})

Popular Examples

derivative of-1/2 cos(x)

\frac{d}{d x} (- \frac{1}{2} cos (x))

tangent of (7-6x)^{1/2},\at x=-1 tangent of

(7 - 6 x)^{\frac{1}{2}}, at x = - 1

integral from 1 to 2 of 1/(x^3)

\int_{1}^{2} \frac{1}{x ^{3}} d x

tangent of f(x)=x^2+x,(2,6)tangent of

f (x) = x^{2} + x, (2, 6)

derivative of cos^3(x+sin^3(x))

\frac{d}{d x} (cos^{3} (x) + sin^{3} (x))

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})