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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{3}{2} cos (x) + \frac{11}{2} sin (x) + \frac{1}{2} e^{x} + x^{3} - 6 x

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{3}{2} cos (x) + \frac{11}{2} sin (x) + \frac{1}{2} e^{x} + x^{3} - 6 x

y = \frac{3}{2} cos (x) + \frac{11}{2} sin (x) + \frac{1}{2} e^{x} + x^{3} - 6 x

Graph

Beliebte Beispiele

y^{''}-4y=x^{-1}e^{2x}

y^{^{''}} - 4 y = x^{- 1} e^{2 x}

(d^2y)/(dx^2)+(dy)/(dx)4+8y=8x^2+8x+1

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} 4 + 8 y = 8 x^{2} + 8 x + 1

(d^2y)/(dx^2)+8(dy)/(dx)+16y=x^2+x+1

\frac{d ^{2} y}{d x ^{2}} + 8 \frac{d y}{d x} + 16 y = x^{2} + x + 1

y^{'''}+y=2x^2+9

y^{^{'''}} + y = 2 x^{2} + 9

y^{'''}-y^'=3-7t

y^{^{'''}} - y^{^{'}} = 3 - 7 t