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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

linear y^{''}+4y=x^2+5cos(x)

l in e a r y^{^{''}} + 4 y = x^{2} + 5 cos (x)

y^{''}-y^'-6y=sin(x)

y^{^{''}} - y^{^{'}} - 6 y = sin (x)

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

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

y^{''}-2y^'+17y=excos(4x)

y^{^{''}} - 2 y^{^{'}} + 17 y = e x cos (4 x)

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

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