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Beliebt Rechnen >

y^{''}+3y^'=8x+5

Lösung

y^{^{''}} + 3 y^{^{'}} = 8 x + 5

Lösung

y = c_{1} + c_{2} e^{- 3 x} + \frac{4 x ^{2}}{3} + \frac{7 x}{9}

Schritte zur Lösung

y^{''} (x) + 3 y^{'} (x) = 8 x + 5

Solve linear ODE:

y = c_{1} + c_{2} e^{- 3 x} + \frac{4 x ^{2}}{3} + \frac{7 x}{9}

y = c_{1} + c_{2} e^{- 3 x} + \frac{4 x ^{2}}{3} + \frac{7 x}{9}

Graph

Beliebte Beispiele

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

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

3y^{''}+8y^'-3y=8-3t

3 y^{^{''}} + 8 y^{^{'}} - 3 y = 8 - 3 t

2y^{''}+4y=6t,y(0)=4.9,y^'(0)=0

2 y^{^{''}} + 4 y = 6 t, y (0) = 4.9, y^{^{'}} (0) = 0

y^{''}-5y^'+6y=24

y^{^{''}} - 5 y^{^{'}} + 6 y = 24

(d^2y)/(dx^2)-5(dy)/(dx)+4y=4

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 4 y = 4