(dy)/(dx)x^6y+8=y+7

Lösung

\frac{d y}{d x} x^{6} y + 8 = y + 7

y = W (\frac{1}{e ^{\frac{- 5 c _{1} x ^{5} + 1}{5 x ^{5}}}}) + 1

Schritte zur Lösung

\frac{d y}{d x} x^{6} y + 8 = y + 7

Solve separable ODE:

y = W (\frac{1}{e ^{\frac{- 5 c _{1} x ^{5} + 1}{5 x ^{5}}}}) + 1

y = W (\frac{1}{e ^{\frac{- 5 c _{1} x ^{5} + 1}{5 x ^{5}}}}) + 1

\frac{d y}{d x} = 6 x^{5} y

2 x y^{^{'}} + y = 0

y y^{^{'}} = 4 x + 9

\frac{df}{d t} f (t) = (sin (t^{2}) + 1)^{4}

\frac{d y}{d x} = \frac{15 x ^{2}}{y}