(dy)/(dx)-y/x =-5/2 x^2y^3

פתרון

\frac{d y}{d x} - \frac{y}{x} = - \frac{5}{2} x^{2} y^{3}

y = \frac{x}{x ^{5} + c _{1}}, y = - \frac{x}{x ^{5} + c _{1}}

צעדי פתרון

\frac{d y}{d x} - \frac{y}{x} = - \frac{5}{2} x^{2} y^{3}

Solve Bernoulli ODE:

y = \frac{x}{x ^{5} + c _{1}}, y = - \frac{x}{x ^{5} + c _{1}}

y = \frac{x}{x ^{5} + c _{1}}, y = - \frac{x}{x ^{5} + c _{1}}

4 (t - 2) e^{4 t}

y^{^{'}} + \frac{y}{x} = \frac{1}{x}

\frac{\partial}{\partial x} (ln (2 + sin (x y)))

\frac{\partial}{\partial z} (z x^{2})

\frac{d y}{d x} = sin (x) (cos (2 y) - cos^{2} (y))