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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- x} + c_{2} + c_{3} x + \frac{3}{2} e^{x} + \frac{x ^{4} - 4 x ^{3}}{3} + 4 x^{2}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} + c_{3} x + \frac{3}{2} e^{x} + \frac{x ^{4} - 4 x ^{3}}{3} + 4 x^{2}

y = c_{1} e^{- x} + c_{2} + c_{3} x + \frac{3}{2} e^{x} + \frac{x ^{4} - 4 x ^{3}}{3} + 4 x^{2}

Graph

Beliebte Beispiele

(dy)/(dt)-2ty=9t^2e^{t^2}

\frac{d y}{d t} - 2 t y = 9 t^{2} e^{t^{2}}

(dy)/(dx)=ysin(x),y(0)=1

\frac{d y}{d x} = y sin (x), y (0) = 1

integral of e^{xy}

\int e^{x y} d x

derivative f(x)=(1+16x^2)/((4x)^3)

d er i v a t i v e f (x) = \frac{1 + 16 x ^{2}}{( 4 x ) ^{3}}

y^{''}-y^'=0,y(0)=10

y^{^{''}} - y^{^{'}} = 0, y (0) = 10