Q50 of 96 Page 12

Find A and B so that y = A sin 3x + Bcos 3x satisfies the equation

Formula: –






Given: –


y = Asin3x + Bcos3x


differentiating w.r.t x



Again differentiating w.r.t x




Now adding






But given,



12A – 6B = 10


– (12B + 6A) = 0


6A = – 12B


A = – 2B


Puttuing A






And ,


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