y=(x^3+sin(x))^6(dy)/(dx)

Lösung

y = (x^{3} + sin (x))^{6} \frac{d y}{d x}

y = e^{\int \frac{1}{( x ^{3} + s i n ( x ) ) ^{6}} d x}

Schritte zur Lösung

y = (x^{3} + sin (x))^{6} \frac{d y}{d x}

Solve separable ODE:

y = e^{\int \frac{1}{( x ^{3} + s i n ( x ) ) ^{6}} d x}

y = e^{\int \frac{1}{( x ^{3} + s i n ( x ) ) ^{6}} d x}

ln (x) = x y y^{^{'}}

\frac{2 ( y - 2 x \frac{d y}{d x} )}{3 y ^{3}} = 0

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

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

\frac{d y}{d x} = 50 (y - 10000)