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Beliebt Rechnen >

y^{'''}-2y^{''}+y^'=2-24e^x+40e^5x

Lösung

y^{^{'''}} - 2 y^{^{''}} + y^{^{'}} = 2 - 24 e^{x} + 40 e^{5} x

Lösung

y = c_{1} + c_{2} e^{x} + c_{3} x e^{x} + 2 x - 12 e^{x} x^{2} + 20 e^{5} x^{2} + 80 e^{5} x

Schritte zur Lösung

y^{'''} (x) - 2 y^{''} (x) + y^{'} (x) = 2 - 24 e^{x} + 40 e^{5} x

Solve linear ODE:

y = c_{1} + c_{2} e^{x} + c_{3} x e^{x} + 2 x - 12 e^{x} x^{2} + 20 e^{5} x^{2} + 80 e^{5} x

y = c_{1} + c_{2} e^{x} + c_{3} x e^{x} + 2 x - 12 e^{x} x^{2} + 20 e^{5} x^{2} + 80 e^{5} x

Graph

Beliebte Beispiele

(d^{2} + 9) y = 2 x^{2}

(d^5-d)*j=8sin(x)-2*x

(d^{5} - d) \cdot j = 8 sin (x) - 2 \cdot x

(d^2+4)y=sin^2(2x)

(d^{2} + 4) y = sin^{2} (2 x)

(d^3+2d^2+d)y=+x^2+x

(d^{3} + 2 d^{2} + d) y = + x^{2} + x

y^{''}-y^'-6y=3x-1

y^{^{''}} - y^{^{'}} - 6 y = 3 x - 1