e^x(y^3+xy^3+1)dx+3y^2(xe^x-6)dy=0

Lösung

e^{x} (y^{3} + x y^{3} + 1) d x + 3 y^{2} (x e^{x} - 6) d y = 0

y = 3 \frac{c _{1} - e ^{x}}{- 6 + e ^{x} x}

Schritte zur Lösung

e^{x} (y^{3} + x y^{3} + 1) d x + 3 y^{2} (x e^{x} - 6) d y = 0

Solve exact ODE:

y = 3 \frac{c _{1} - e ^{x}}{- 6 + e ^{x} x}

y = 3 \frac{c _{1} - e ^{x}}{- 6 + e ^{x} x}

s l o p e (- 7, 6), (9, - \frac{6}{7})

x \to \infty lim (3 x - x^{2})

8 y^{^{''}} + 6 y^{^{'}} - y = 11

h \to 0 lim (cos (\frac{π}{2}))

\int_{0}^{4} e^{x} d x