(dy)/(dx)=xy+3x+5y+15

Lösung

\frac{d y}{d x} = x y + 3 x + 5 y + 15

y = e^{\frac{x ^{2}}{2} + 5 x + c_{1}} - 3

Schritte zur Lösung

\frac{d y}{d x} = x y + 3 x + 5 y + 15

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + 5 x + c_{1}} - 3

y = e^{\frac{x ^{2}}{2} + 5 x + c_{1}} - 3

\frac{d}{d x} (\frac{5 ^{x}}{1 + 5 ^{2 x}})

\int_{\frac{1}{7}}^{5} 16 x ln (7 x) d x

\frac{d}{d x} ((x)^{\frac{1}{2}})

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in v erse l a pl a ce \frac{e ^{- 4 s}}{s ^{2} + 4 s + 3}