(dy)/(dx)=((x+sin(x)))/(3y^2)

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

d er i v a t i v e x^{3} - 2 x^{2} + 4 x + 3

\frac{\partial}{\partial x} (ln (x^{2} + y^{4} + 2))

n = 1 \sum \infty \frac{n}{n ^{2} + 2}

\frac{d}{d x} (- 8 sin (\frac{3 x}{2} + 1))

x \to 4 - lim (2 x - 1)