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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- x} + c_{2} x e^{- x} + x^{2} - x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} x e^{- x} + x^{2} - x

y = c_{1} e^{- x} + c_{2} x e^{- x} + x^{2} - x

Graph

Beliebte Beispiele

y^{''}+y=sec(x^3)

y^{^{''}} + y = sec (x^{3})

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

y^{^{''}} - y^{^{'}} = \frac{e ^{2} x}{( 2 + e ^{x} )}

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

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

solvefor d,d(t)=4000-3000e^{-0.06t}

so l v e f or d, d (t) = 4000 - 3000 e^{- 0.06 t}

(d^2-d-2)*y=2*log_{10}(x)+1/x+1/((x^2))

(d^{2} - d - 2) \cdot y = 2 \cdot lo g_{10} (x) + \frac{1}{x} + \frac{1}{( x ^{2} )}