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Beliebt Rechnen >

y^{''}+16y=4e^{2t}+4sin(2t)

Lösung

y^{^{''}} + 16 y = 4 e^{2 t} + 4 sin (2 t)

Lösung

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{5} e^{2 t} + \frac{1}{3} sin (2 t)

Schritte zur Lösung

y^{''} (t) + 16 y = 4 e^{2 t} + 4 sin (2 t)

Solve linear ODE:

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{5} e^{2 t} + \frac{1}{3} sin (2 t)

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{5} e^{2 t} + \frac{1}{3} sin (2 t)

Graph

Beliebte Beispiele

x^{''}+x=acos(t)

x^{^{''}} + x = a cos (t)

y^{'''}+25y^'=10sin(5t)-4t^2

y^{^{'''}} + 25 y^{^{'}} = 10 sin (5 t) - 4 t^{2}

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

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

y^{''}+2y^'+y=4000sec(40x)

y^{^{''}} + 2 y^{^{'}} + y = 4000 sec (40 x)

ax^{''}+bx^'+c=0

a x^{^{''}} + b x^{^{'}} + c = 0