(dy)/(dx)=6sqrt(xy)

Lösung

\frac{d y}{d x} = 6 x y

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

Schritte zur Lösung

\frac{d y}{d x} = 6 x y

Solve separable ODE:

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

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

\int_{2}^{x} (3 t^{2} - 1) d t

\int \frac{csc ^{4} ( 2 x )}{cot ^{2} ( 2 x )} d x

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

(\frac{sin ( x )}{x})^{^{'}}

a re a 9 - x^{2}, 0