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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (x) + c_{2} sin (x) - \frac{3 x ^{2} cos ( x )}{4} + \frac{3 x sin ( x )}{4}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) - \frac{3 x ^{2} cos ( x )}{4} + \frac{3 x sin ( x )}{4}

y = c_{1} cos (x) + c_{2} sin (x) - \frac{3 x ^{2} cos ( x )}{4} + \frac{3 x sin ( x )}{4}

Graph

Beliebte Beispiele

y^{''}+500y^'+20000y=1100

y^{^{''}} + 500 y^{^{'}} + 20000 y = 1100

y^{''}+2y^'-8y=x+1

y^{^{''}} + 2 y^{^{'}} - 8 y = x + 1

y^{''}-y^'-6y=15sin(3x)

y^{^{''}} - y^{^{'}} - 6 y = 15 sin (3 x)

y^{''}-4y^'+3y=10e^{3x}

y^{^{''}} - 4 y^{^{'}} + 3 y = 10 e^{3 x}

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

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