verify that y=C1eaxcosbx+C2eaxsinbx,where C1 and C2 are arbitary constant, is a solution of the differential equation d2y/dx2-2a(dy/dx)+(a2+b2)y =0 - Maths - Differential Equations

Question

verify that
y=C1eaxcosbx+C2eaxsinbx,where
C1 and C2 are arbitary constant, is a
solution of the differential equation
d2y/dx2-2a(dy/dx)+(a2+b2)y
=0

Abhishek Kr. Jha · Accepted Answer

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verify that y=C1eaxcosbx+C2eaxsinbx,where C1 and C2 are arbitary constant, is a solution of the differential equation d2y/dx2-2a(dy/dx)+(a2+b2)y =0.

verify that y=C₁e^axcosbx+C₂e^axsinbx,where C₁ and C₂ are arbitary constant, is a solution of the differential equation d²y/dx²-2a(dy/dx)+(a²+b²)y =0.