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Beliebt Rechnen >

y^{''}+y=4x*sin(x)

Lösung

y^{^{''}} + y = 4 x \cdot sin (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + y = 4 x \cdot sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-10y^'+25y=(1.5e^{5t})/(t^2+1)

y^{^{''}} - 10 y^{^{'}} + 25 y = \frac{1.5 e ^{5 t}}{t ^{2} + 1}

y^{''}-3y^'=1+e^x+cos(x)+sin(x)

y^{^{''}} - 3 y^{^{'}} = 1 + e^{x} + cos (x) + sin (x)

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

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

x^{''}-3x^'-4x=8e^tcos(2t)

x^{^{''}} - 3 x^{^{'}} - 4 x = 8 e^{t} cos (2 t)

y^{'''}-3y^{''}-y^'+3y=e^{6x}

y^{^{'''}} - 3 y^{^{''}} - y^{^{'}} + 3 y = e^{6 x}