equations

find the differential equation of the following
y=c₁sin²x+c₂cos2x+c₃

1 Answers

this one is not very difficult...

first remove the constants..

the mistake you can make here is to believe that there are 3 unknowns when there are only 2!!

I hope this is where you may have missed the question...

\\y=c_1sin^2x+c_2cos2x+c_3 \\y=c_1sin^2x+c_2(1-2sin^2x)+c_3 \\y=(c_1-2c_2)sin^2x+c_2+c_3

NOw solve the rest :)

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