Question

Solve the differential equation, small question on concept.

Answer 1

\[sinx \frac{ dy }{ dx }+(cosx)y = 9\sin(x^2)\]

Answer 2

The 2nd step becomes \[sinx \frac{ dy }{ dx }+y*\frac{ d(sinx) }{ dx }= 9 \sin(x^2)\] then 3rd step \[\frac{ d(y*sinx )}{ dx }=9\sin(x^2)\]

Why does cosx change into \[\frac{ d(sinx) }{ dx }\]?

Answer 3

The derivative of sin x is cos x

Answer 4

Are you sure its\[\sin(x^2)\]