Find the differential equation whose solution is y=acos(x-3)
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solution of a differential equation is given , y = acos(x - 3)
now, differentiate with respect to x
dy/dx = a.d[cos(x-3)]/dx
=a {-sin(x - 3)}
= -asin(x - 3)
For removing a again differentiate with respect to x
d²y/dx² = -acos(x - 3) , put y = acos(x -3)
then, d²y/dx² = -y
Hence, answer is d²y/dx² = -y
now, differentiate with respect to x
dy/dx = a.d[cos(x-3)]/dx
=a {-sin(x - 3)}
= -asin(x - 3)
For removing a again differentiate with respect to x
d²y/dx² = -acos(x - 3) , put y = acos(x -3)
then, d²y/dx² = -y
Hence, answer is d²y/dx² = -y
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