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Popular >

(dy)/(dx)=xe^y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

y^{''}-4y^'+25/4 y=10cos(8x)

y^{^{''}} - 4 y^{^{'}} + \frac{25}{4} y = 10 cos (8 x)

derivative of f(x)=(2+x+8x^3)/(x^4)derivative of

f (x) = \frac{2 + x + 8 x ^{3}}{x ^{4}}

integral of y/(1+y^2)

\int \frac{y}{1 + y ^{2}} d y

(\partial)/(\partial x)(20sin(4x)cos(2y))

\frac{\partial}{\partial x} (20 sin (4 x) cos (2 y))

limit as h approaches 0 of ((e^h-1))/h

h \to 0 lim (\frac{( e ^{h} - 1 )}{h})

Frequently Asked Questions (FAQ)

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