(dy)/(dx)=e^{x-y},y(0)=2

Lösung

\frac{d y}{d x} = e^{x - y}, y (0) = 2

y = ln (e^{x} + e^{2} - 1)

Schritte zur Lösung

\frac{d y}{d x} = e^{x - y}

Solve separable ODE:

y = ln (e^{x} + e^{2} - 1)

y = ln (e^{x} + e^{2} - 1)

x \to 11 - lim (x - 11)

d er i v a t i v e e^{x^{x^{2}}}

\frac{\partial}{\partial x} (\frac{e ^{x}}{1 - e ^{x}})

t an g e n t f (x) = sec (x), at x = \frac{π}{3}

im pl i c i t \frac{d ^{2} y}{d x ^{2}}, 3 x y + y^{2} = 7