(x^2+3)((dy)/(dx))=xy

Lösung

(x^{2} + 3) (\frac{d y}{d x}) = x y

y = c_{1} x^{2} + 3

Schritte zur Lösung

(x^{2} + 3) (\frac{d y}{d x}) = x y

Solve separable ODE:

y = c_{1} x^{2} + 3

y = c_{1} x^{2} + 3

\frac{d}{d x} (\frac{1}{( 5 x ^{6} + 4 x + 1 ) ^{\frac{9}{2}}})

\frac{d y}{d x} + \frac{6}{x} y = - 5 x + 9

(x + 1) \frac{d y}{d x} + (x + 2) y = 2 x e^{- x}

\int \frac{x ^{2} + 4 x}{x ^{3} + 6 x ^{2} + 5} d x

\int \frac{x + 1}{x ^{3} - x} d x