(dy)/(dx)=(4x^2+2x)/(y^2)

Lösung

\frac{d y}{d x} = \frac{4 x ^{2} + 2 x}{y ^{2}}

y = 3 4 x^{3} + 3 x^{2} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{4 x ^{2} + 2 x}{y ^{2}}

Solve separable ODE:

y = 3 4 x^{3} + 3 x^{2} + c_{1}

y = 3 4 x^{3} + 3 x^{2} + c_{1}

t an g e n t f (x) = \frac{1}{x ^{2}}, 1, at x = 1

x \to 7 lim (\frac{x ^{7}}{700})

x \to 1 lim (\frac{2 ^{x} - 2}{x - 1})

in v erse l a pl a ce \frac{e ^{- 2 s}}{s ^{3}}

\int x \cdot e^{x} d x