(dy)/(dx)+e^xy=1

Lösung

\frac{d y}{d x} + e^{x} y = 1

y = \frac{Ei ( e ^{x} )}{e ^{e^{x}}} + \frac{c _{1}}{e ^{e^{x}}}

Schritte zur Lösung

\frac{d y}{d x} + e^{x} y = 1

Solve linear ODE:

y = \frac{Ei ( e ^{x} )}{e ^{e^{x}}} + \frac{c _{1}}{e ^{e^{x}}}

y = \frac{Ei ( e ^{x} )}{e ^{e^{x}}} + \frac{c _{1}}{e ^{e^{x}}}

d er i v a t i v e h (t) = (t^{4} - 1)^{9} (t^{3} + 1)^{6}

n = 1 \sum \infty 2 + 7 n

\frac{\partial}{\partial x} (- \frac{1}{2} ln (\frac{x}{a}))

t an g e n t f (x) = x (x - 8), at x = 16

\int_{0}^{3} 6 y - 2 y^{2} d y