y^'*1/(sqrt(y))=7sqrt(x)

Lösung

y^{^{'}} \cdot \frac{1}{y} = 7 x

y = \frac{49 x ^{3}}{9} + \frac{7 c _{1} x ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

y^{'} (x) \cdot \frac{1}{y} = 7 x

Solve separable ODE:

y = \frac{49 x ^{3}}{9} + \frac{7 c _{1} x ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

y = \frac{49 x ^{3}}{9} + \frac{7 c _{1} x ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

y^{^{'}} + (1 - \frac{1}{x}) y = 0

y^{^{'}} = (\frac{2}{t} - t) y

(ux)^{2} u d x + x d u + x^{2} + (x) (ux) + (ux)^{2} = 0

\frac{d r}{d t} = - r

y = x \frac{d y}{d x}