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Beliebt Rechnen >

f^{''}(x)+f(x)=0,f(0)=1

Lösung

f^{^{''}} (x) + f (x) = 0, f (0) = 1

Lösung

f (x) = cos (x) + c_{2} sin (x)

Schritte zur Lösung

f^{''} (x) + f (x) = 0

Solve linear ODE:

f (x) = cos (x) + c_{2} sin (x)

f (x) = cos (x) + c_{2} sin (x)

Graph

Beliebte Beispiele

y^{'''}+y^{''}-7y^'+5y=0

y^{^{'''}} + y^{^{''}} - 7 y^{^{'}} + 5 y = 0

linear y^{''}+2y=0,y(0)=1,y^'(0)=1

l in e a r y^{^{''}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 1

y^{''''}-y^{'''}+2y^'=0

y^{^{''''}} - y^{^{'''}} + 2 y^{^{'}} = 0

(y^{''}-ay^')=by

(y^{^{''}} - a y^{^{'}}) = b y

y^{''}+12y^'+4y=0,y(0)=-3,y^'(0)=0

y^{^{''}} + 12 y^{^{'}} + 4 y = 0, y (0) = - 3, y^{^{'}} (0) = 0