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if-y-sin2x-is-the-solution-of-differintial-equation-d-2-y-dx-2-4y-k-then-the-k-is-




Question Number 101558 by mhmd last updated on 03/Jul/20
if y=sin2x is the solution of differintial equation   (d^2 y/dx^2 ) +4y=k then the k is .......
ify=sin2xisthesolutionofdifferintialequationd2ydx2+4y=kthenthekis.
Answered by bemath last updated on 03/Jul/20
y′=2cos 2x ⇒y′′=−4sin 2x  y′′+4y=−4sin 2x+4sin 2x = 0 = k ★
y=2cos2xy=4sin2xy+4y=4sin2x+4sin2x=0=k
Commented by mhmd last updated on 03/Jul/20
thank you sir
thankyousir

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