y^'=y^{(1/2)}

Lösung

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

y = \frac{t ^{2}}{4} + \frac{c _{1} t}{2} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

y^{'} (t) = y^{(\frac{1}{2})}

Solve separable ODE:

y = \frac{t ^{2}}{4} + \frac{c _{1} t}{2} + \frac{c _{1}^{2}}{4}

y = \frac{t ^{2}}{4} + \frac{c _{1} t}{2} + \frac{c _{1}^{2}}{4}

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

\frac{d x}{x ^{2} y} + \frac{d y}{x y ^{2}} = 0

y^{^{'}} + \frac{y}{3} = 4, y (- 1) = 0

y^{^{'}} = 1 - y, y (0) = \frac{1}{2}

(x^{2} - 14 x + 45) \frac{d y}{d x} = y