y^'-xy=xy^{3/2}

Lösung

y^{^{'}} - x y = x y^{\frac{3}{2}}

y = \frac{1}{e ^{\frac{- x ^{2} - 4 c _{1}}{2}} - 2 e ^{\frac{- x ^{2} - 4 c _{1}}{4}} + 1}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = \frac{1}{e ^{\frac{- x ^{2} - 4 c _{1}}{2}} - 2 e ^{\frac{- x ^{2} - 4 c _{1}}{4}} + 1}

y = \frac{1}{e ^{\frac{- x ^{2} - 4 c _{1}}{2}} - 2 e ^{\frac{- x ^{2} - 4 c _{1}}{4}} + 1}

s l o p e \frac{1}{x}

d er i v a t i v e y = 9 arctan (x - 1 + x^{2})

\int \frac{x}{x - 5} d x

d er i v a t i v e f (x) = \frac{1}{2 x}

x \to 2 lim ((x + 1) (3 x^{2} - 9))