32=v^2+xv(dv)/(dx)

Lösung

32 = v^{2} + xv \frac{d v}{d x}

v = \frac{c _{1} + 32 x ^{2}}{x}, v = - \frac{c _{1} + 32 x ^{2}}{x}

Schritte zur Lösung

32 = v^{2} + xv \frac{d v}{d x}

Solve separable ODE:

v = \frac{c _{1} + 32 x ^{2}}{x}, v = - \frac{c _{1} + 32 x ^{2}}{x}

v = \frac{c _{1} + 32 x ^{2}}{x}, v = - \frac{c _{1} + 32 x ^{2}}{x}

\frac{d y}{d x} = y^{2} + 2 y - 15

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

y^{^{'}} = e^{t} \cdot y^{2}

y^{^{'}} = 6 y - 5

\frac{d y}{d t} = k y (t)^{1 + c}