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Beliebt Rechnen >

y^{''}+2y=4^3+5x^2-x+7

Lösung

y^{^{''}} + 2 y = 4^{3} + 5 x^{2} - x + 7

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{5 x ^{2}}{2} - \frac{x}{2} + 33

Schritte zur Lösung

y^{''} (x) + 2 y = 4^{3} + 5 x^{2} - x + 7

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{5 x ^{2}}{2} - \frac{x}{2} + 33

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{5 x ^{2}}{2} - \frac{x}{2} + 33

Graph

Beliebte Beispiele

y^{''}+4y^'+6y=1+e^{-x},y(0)=0,y^'(0)=0

y^{^{''}} + 4 y^{^{'}} + 6 y = 1 + e^{- x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-4y^'+4y=t,y(0)=0,y^'(0)=1

y^{^{''}} - 4 y^{^{'}} + 4 y = t, y (0) = 0, y^{^{'}} (0) = 1

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

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

y^{''}-y^'=4x+3

y^{^{''}} - y^{^{'}} = 4 x + 3

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

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