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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- x} + sin (x) - cos (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + sin (x) - cos (x)

y = c_{1} + c_{2} e^{- x} + sin (x) - cos (x)

Graph

Beliebte Beispiele

y^{''}+y^'-2y=2x+3,y(0)=1,y^'(0)=-4

y^{^{''}} + y^{^{'}} - 2 y = 2 x + 3, y (0) = 1, y^{^{'}} (0) = - 4

y^{''}+5y^'+4y=10te^{5t}

y^{^{''}} + 5 y^{^{'}} + 4 y = 10 t e^{5 t}

(d^2y)/(dx^2)-3(dy)/(dx)+2=0

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} + 2 = 0

y^{''}+9y=18x+36sin(x)

y^{^{''}} + 9 y = 18 x + 36 sin (x)

y^{''}-4y^'+4y=(e^{-2x})/(1+x^2)

y^{^{''}} - 4 y^{^{'}} + 4 y = \frac{e ^{- 2 x}}{1 + x ^{2}}