((dy)/(dx))/y =x^{x-1}

الحلّ

\frac{\frac{d y}{d x}}{y} = x^{x - 1}

y = e^{\int x^{x - 1} d x}

خطوات الحلّ

\frac{\frac{d y}{d x}}{y} = x^{x - 1}

Solve separable ODE:

y = e^{\int x^{x - 1} d x}

y = e^{\int x^{x - 1} d x}

y^{^{'}} + 2 y = 2, 6 sin (3 t) y (0) = 3

3 x \frac{d y}{d x} + 9 x^{3} y = 3 x^{3}

x \frac{d y}{d x} + cot (y) = 0

N^{^{'}} = r - a (N - b)^{2}

y^{^{'}} = \frac{1}{2} y cos^{2} (y)