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Popular >

(dy)/(dx)=x*e^y

Solution

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

Solution

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

Solution steps

\frac{d y}{d 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

y^'=(x^2)/y (1+x^3)

y^{^{'}} = \frac{x ^{2}}{y} (1 + x^{3})

(dx)/(dt)=x^2+1/81

\frac{d x}{d t} = x^{2} + \frac{1}{81}

(dx)/(dt)=0.36-(9x)/(100)

\frac{d x}{d t} = 0.36 - \frac{9 x}{100}

u^{^{'}} = x^{2} H (x)

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

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

Frequently Asked Questions (FAQ)

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