(dy)/(dx)6x^3sqrt(y)+2y=0

Lösung

\frac{d y}{d x} 6 x^{3} y + 2 y = 0

y = \frac{1}{144 x ^{4}} + \frac{c _{1}}{12 x ^{2}} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d x} 6 x^{3} y + 2 y = 0

Solve separable ODE:

y = \frac{1}{144 x ^{4}} + \frac{c _{1}}{12 x ^{2}} + \frac{c _{1}^{2}}{4}

y = \frac{1}{144 x ^{4}} + \frac{c _{1}}{12 x ^{2}} + \frac{c _{1}^{2}}{4}

y^{^{'}} = 3 - 5 y

\frac{d y}{d x} = 0.2 \cdot + y + 200

6 y^{^{'}} + 9 y = 0

f^{^{'}} (x) - 2 f (x) (x^{2} e^{x}) = 0

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