Math, asked by shrutipotdar14, 1 month ago

solve the differential equation dy/dx =x^2+sin 3x​

Answers

Answered by charu1710sharma
3

Answer:

apply product rule u will get as,

dy/dx=x²(d(sin3x)/dx) + sin3x(d(x²)/dx)

dy/dx=x²cos3x+(2x)sin3x

...

if u like to further solve the answer then apply cos3x=4cos³x–3cosx and sin3x=3sinx-4sin³x formula and then u will get as,,

...

dy/dx=x²4cos³x–x²3cosx+6xsinx–8xsin³x

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