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Beliebt Rechnen >

y^{'''}+y^'=x+sin(x)+cos(x)

Lösung

y^{^{'''}} + y^{^{'}} = x + sin (x) + cos (x)

Lösung

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

Schritte zur Lösung

y^{'''} (x) + y^{'} (x) = x + sin (x) + cos (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}+y^'-2y=2t,y(0)=0

y^{^{''}} + y^{^{'}} - 2 y = 2 t, y (0) = 0

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

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

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

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

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

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