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Beliebt Rechnen >

4x^{''}-2x=7

Lösung

4 x^{^{''}} - 2 x = 7

Lösung

x = c_{1} e^{\frac{t}{2}} + c_{2} e^{- \frac{t}{2}} - \frac{7}{2}

Schritte zur Lösung

4 x^{''} (t) - 2 x = 7

Solve linear ODE:

x = c_{1} e^{\frac{t}{2}} + c_{2} e^{- \frac{t}{2}} - \frac{7}{2}

x = c_{1} e^{\frac{t}{2}} + c_{2} e^{- \frac{t}{2}} - \frac{7}{2}

Graph

Beliebte Beispiele

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

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

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

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

y^{''}+17y^'+72y=4xe^{2x}

y^{^{''}} + 17 y^{^{'}} + 72 y = 4 x e^{2 x}

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

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

y^{''}-2y^{''}-3y=9x+9

y^{^{''}} - 2 y^{^{''}} - 3 y = 9 x + 9