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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} + \frac{cos ( 2 x ) - 4 cos ^{2} ( x )}{16}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} + \frac{cos ( 2 x ) - 4 cos ^{2} ( x )}{16}

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} + \frac{cos ( 2 x ) - 4 cos ^{2} ( x )}{16}

Graph

Beliebte Beispiele

y^{''}+9y=5csc^2(3x)

y^{^{''}} + 9 y = 5 csc^{2} (3 x)

y^{''}-y-12y=e^{4x}

y^{^{''}} - y - 12 y = e^{4 x}

(d^2y)/(dx^2)-y= 1/x

\frac{d ^{2} y}{d x ^{2}} - y = \frac{1}{x}

6y^{''}-y^'-2y=3sin(10)x

6 y^{^{''}} - y^{^{'}} - 2 y = 3 sin (10) x

solvefor d,d(x)=sqrt((3x-2)/(x+1))

so l v e f or d, d (x) = \frac{3 x - 2}{x + 1}