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Beliebt Rechnen >

y^{''}-6y^'+9y=15x+2

Lösung

y^{^{''}} - 6 y^{^{'}} + 9 y = 15 x + 2

Lösung

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + \frac{5 x}{3} + \frac{4}{3}

Schritte zur Lösung

y^{''} (x) - 6 y^{'} (x) + 9 y = 15 x + 2

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + \frac{5 x}{3} + \frac{4}{3}

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + \frac{5 x}{3} + \frac{4}{3}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-8(dy)/(dx)+15=0

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 15 = 0

y^{''}-5y^'+6y=x^2+3x

y^{^{''}} - 5 y^{^{'}} + 6 y = x^{2} + 3 x

y^{''}+3y^'=54x

y^{^{''}} + 3 y^{^{'}} = 54 x

(D^2+4D+5)y=50x+13e^{ex}

(D^{2} + 4 D + 5) y = 50 x + 13 e^{e x}

y^{''}-5y^'+6y=4e^{4x}

y^{^{''}} - 5 y^{^{'}} + 6 y = 4 e^{4 x}