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Beliebt Rechnen >

derivative of (dy/(dx))+25y=0

Lösung

\frac{d}{d x} (\frac{d y}{d x}) + 25 y = 0

Lösung

y = c_{1} cos (5 x) + c_{2} sin (5 x)

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 25 y = 0

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x)

y = c_{1} cos (5 x) + c_{2} sin (5 x)

Graph

Beliebte Beispiele

limit as x approaches 0 of (sin^9(x))/x

x \to 0 lim (\frac{sin ^{9} ( x )}{x})

integral of x^2e^{x^3+4}

\int x^{2} e^{x^{3} + 4} d x

derivative f(x)=((x^2-1))/((x^2+1))

d er i v a t i v e f (x) = \frac{( x ^{2} - 1 )}{( x ^{2} + 1 )}

derivative (x+9)/(x-9)

d er i v a t i v e \frac{x + 9}{x - 9}

integral of (2/(sqrt(x))-1/2)

\int (\frac{2}{x} - \frac{1}{2}) d x