x^4e^y+(x+1)y(dy)/(dx)=0

Lösung

x^{4} e^{y} + (x + 1) y \frac{d y}{d x} = 0

y = - W (\frac{- 3 x ^{4} + 4 x ^{3} - 6 x ^{2} + 12 x - 12 ln ( x + 1 ) + c _{1}}{12 e}) - 1

Schritte zur Lösung

x^{4} e^{y} + (x + 1) y \frac{d y}{d x} = 0

Solve separable ODE:

y = - W (\frac{- 3 x ^{4} + 4 x ^{3} - 6 x ^{2} + 12 x - 12 ln ( x + 1 ) + c _{1}}{12 e}) - 1

y = - W (\frac{- 3 x ^{4} + 4 x ^{3} - 6 x ^{2} + 12 x - 12 ln ( x + 1 ) + c _{1}}{12 e}) - 1

d er i v a t i v e f (x) = (1 + cos^{2} (x))^{6}

\int_{5}^{10} a x - 10 b d x

t an g e n t f (x) = \frac{12}{x}, at x = - 2

\frac{d}{d z} (0)

x \to 0 lim (\frac{1}{x ^{\frac{1}{2}}})