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Beliebt Rechnen >

y^{'''}-4y^{''}+5y^'-2y=6e^x+10cos(x)

Lösung

y^{^{'''}} - 4 y^{^{''}} + 5 y^{^{'}} - 2 y = 6 e^{x} + 10 cos (x)

Lösung

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

Schritte zur Lösung

y^{'''} (x) - 4 y^{''} (x) + 5 y^{'} (x) - 2 y = 6 e^{x} + 10 cos (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+3y^'+2y=sin(x)

y^{^{''}} + 3 y^{^{'}} + 2 y = sin (x)

(d^2y)/(dx^2)+ay^'-b=0

\frac{d ^{2} y}{d x ^{2}} + a y^{^{'}} - b = 0

linear y^{''}+y^'-6y=2x

l in e a r y^{^{''}} + y^{^{'}} - 6 y = 2 x

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

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

y^{''}+4y^'+5y=50x+13e^{3x}

y^{^{''}} + 4 y^{^{'}} + 5 y = 50 x + 13 e^{3 x}