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Beliebt Rechnen >

y^'+4xy=x^3e^{x^2},y(0)=-1

Lösung

y^{^{'}} + 4 x y = x^{3} e^{x^{2}}, y (0) = - 1

Lösung

y = \frac{e ^{x^{2}} ( 3 x ^{2} - 1 )}{18} - \frac{17}{18 e ^{2 x^{2}}}

Schritte zur Lösung

y^{'} (x) + 4 x y = x^{3} e^{x^{2}}

Solve linear ODE:

y = \frac{e ^{x^{2}} ( 3 x ^{2} - 1 )}{18} - \frac{17}{18 e ^{2 x^{2}}}

y = \frac{e ^{x^{2}} ( 3 x ^{2} - 1 )}{18} - \frac{17}{18 e ^{2 x^{2}}}

Graph

Beliebte Beispiele

integral of xcosh(2x^2-3)

\int x cosh (2 x^{2} - 3) d x

inverselaplace (e^{-s})/((s+1)^2+1)

in v erse l a pl a ce \frac{e ^{- s}}{( s + 1 ) ^{2} + 1}

integral from 0 to pi of 2sin^4(x)

\int_{0}^{π} 2 sin^{4} (x) d x

integral of (x^3)/(x^2+x+1)

\int \frac{x ^{3}}{x ^{2} + x + 1} d x

y^{''}+9y=30sin(t)

y^{^{''}} + 9 y = 30 sin (t)