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Beliebt Rechnen >

y^{''}+y=sec^3(x),y(0)=1

Lösung

y^{^{''}} + y = sec^{3} (x), y (0) = 1

Lösung

y = cos (x) + c_{2} sin (x) + \frac{sin ( x ) tan ( x )}{2}

Schritte zur Lösung

y^{''} (x) + y = sec^{3} (x)

Solve linear ODE:

y = cos (x) + c_{2} sin (x) + \frac{sin ( x ) tan ( x )}{2}

y = cos (x) + c_{2} sin (x) + \frac{sin ( x ) tan ( x )}{2}

Graph

Beliebte Beispiele

-y^{''}+10y^'+25y=30x+3

- y^{^{''}} + 10 y^{^{'}} + 25 y = 30 x + 3

y^{''}+4y=5sec(2x)

y^{^{''}} + 4 y = 5 sec (2 x)

y^{''}+y=e^t+t^3,y(0)=2,y^'(0)=0

y^{^{''}} + y = e^{t} + t^{3}, y (0) = 2, y^{^{'}} (0) = 0

y^{''}-4y^'-12y=3e^{5t}

y^{^{''}} - 4 y^{^{'}} - 12 y = 3 e^{5 t}

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

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