((x^2+4)dy)/(dx)+3xy=x

Lösung

\frac{( x ^{2} + 4 ) d y}{d x} + 3 x y = x

y = \frac{c _{1}}{3 ( x ^{2} + 4 ) ^{\frac{3}{2}}} + \frac{1}{3}

Schritte zur Lösung

\frac{( x ^{2} + 4 ) d y}{d x} + 3 x y = x

Solve separable ODE:

y = \frac{c _{1}}{3 ( x ^{2} + 4 ) ^{\frac{3}{2}}} + \frac{1}{3}

y = \frac{c _{1}}{3 ( x ^{2} + 4 ) ^{\frac{3}{2}}} + \frac{1}{3}

(x - 2) y^{^{'}} + y = 0

\frac{d y}{d x} = e^{- y}

y^{^{'}} = 3 x e^{y}

\frac{d y}{d x} = 10 x^{9} y

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