Verify that the given function is a solution of the differential equation

Asked by aadeshpdabre | 24th May, 2016, 01:49: PM

Expert Answer:

straight y space equals space straight C subscript 1 space sinx space plus space straight C subscript 1 space cosx

dy over dx equals space space straight C subscript 1 space cosx space minus space space straight C subscript 1 space sinx

fraction numerator straight d squared straight y over denominator dx squared end fraction equals space space space minus space straight C subscript 1 space sinx space minus space straight C subscript 1 space cosx
space space fraction numerator straight d squared straight y over denominator dx squared end fraction equals space minus straight y
space space fraction numerator straight d squared straight y over denominator dx squared end fraction space plus space straight y space equals space 0
 
 
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Answered by Vijaykumar Wani | 25th May, 2016, 12:49: PM