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Popular >

y^'=x*e^y

Solution

y^{^{'}} = x \cdot e^{y}

Solution

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

Solution steps

y^{'} (x) = x \cdot e^{y}

Solve separable ODE:

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

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

Popular Examples

(x^3+7x^3y^2)dx+e^{x^4}ydy=0

(x^{3} + 7 x^{3} y^{2}) d x + e^{x^{4}} y d y = 0

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

(1 + x^{2}) \frac{d y}{d x} + 2 x y = - x

(dy)/(dx)y=log_{2}(xlog_{5}(x))

\frac{d y}{d x} y = lo g_{2} (x lo g_{5} (x))

y^'=t^3(y^2+3y+16)

y^{^{'}} = t^{3} (y^{2} + 3 y + 16)

(dy)/(dt)+t^2y=t^2

\frac{d y}{d t} + t^{2} y = t^{2}

Frequently Asked Questions (FAQ)

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