(dy)/(dx)=xsqrt(y)

Lösung

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

y = \frac{x ^{4}}{16} + \frac{c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{x ^{4}}{16} + \frac{c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

y = \frac{x ^{4}}{16} + \frac{c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

x \to \infty lim (5 x + 2)

y^{^{'}} - 2 y = 4 x

\int \frac{( 1 + cos ( x ) )}{x + sin ( x )} d x

d er i v a t i v e 5 x^{3} - \frac{8}{x}

\int (- 6 sec (x) tan (x) - 7 sec^{2} (x)) d x