(dy)/(dx)=((x^2+y))/(x^3)

Lösung

\frac{d y}{d x} = \frac{( x ^{2} + y )}{x ^{3}}

y = - \frac{Ei ( \frac{1}{2 x ^{2}} )}{2 e ^{\frac{1}{2 x ^{2}}}} + \frac{c _{1}}{e ^{\frac{1}{2 x ^{2}}}}

Schritte zur Lösung

\frac{d y}{d x} = \frac{( x ^{2} + y )}{x ^{3}}

Solve linear ODE:

y = - \frac{Ei ( \frac{1}{2 x ^{2}} )}{2 e ^{\frac{1}{2 x ^{2}}}} + \frac{c _{1}}{e ^{\frac{1}{2 x ^{2}}}}

y = - \frac{Ei ( \frac{1}{2 x ^{2}} )}{2 e ^{\frac{1}{2 x ^{2}}}} + \frac{c _{1}}{e ^{\frac{1}{2 x ^{2}}}}

f (x) = ln (x + 2)

\int_{8}^{9} \frac{1}{x ^{2} - 1} d x

a re a y = 9 - x^{2}, 0 \leq x \leq 2

t an g e n t f (x) = 7 e^{x^{2} - 9 x + 8}, at x = 0

d er i v a t i v e y = 164 4 x^{4} + 4