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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{4 x} + c_{2} + c_{3} x - \frac{x ^{3}}{12} - \frac{7 x ^{2}}{16}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} + c_{3} x - \frac{x ^{3}}{12} - \frac{7 x ^{2}}{16}

y = c_{1} e^{4 x} + c_{2} + c_{3} x - \frac{x ^{3}}{12} - \frac{7 x ^{2}}{16}

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=e^3t

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{3} t

(d^2-d-2)y=6e^{(-t)/2}

(d^{2} - d - 2) y = 6 e^{\frac{- t}{2}}

solvefor d,d(q)=-0.4q+23

so l v e f or d, d (q) = - 0.4 q + 23

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

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

(d^2-4)y=3e^2x-4e^{-2}x

(d^{2} - 4) y = 3 e^{2} x - 4 e^{- 2} x