xy^'-4y=x^6e^x

Lösung

x y^{^{'}} - 4 y = x^{6} e^{x}

y = e^{x} x^{5} - e^{x} x^{4} + c_{1} x^{4}

Schritte zur Lösung

x y^{'} (x) - 4 y = x^{6} e^{x}

Solve linear ODE:

y = e^{x} x^{5} - e^{x} x^{4} + c_{1} x^{4}

y = e^{x} x^{5} - e^{x} x^{4} + c_{1} x^{4}

x \to \infty lim (\frac{x ^{99}}{e ^{x}})

\int_{1}^{a} (\frac{1}{4 x}) d x

d er i v a t i v e e^{s i n (x)} cos (x)

x \to - 1 lim (\frac{x + 1}{6 x ^{2} + 3 + 3 x})

\int 2 x sec^{2} (3 x) d x