Answer:
sec y=(1+x)+ce^x
Step-by-step explanation:
sin y dy/dx-cos y=-x cos² y
sin y dy/dx- cos y= -x cos²y
tan y.sec y. dy/dx- sec y= -x
I.F. = e^-x
By multiplying, we get
e^-x dv/dx-e^-x.v=-x.e^-x
ve^-x=∫-xe^-x dx=xe^-x+e^-x+c=e^-x(x+1)+c
v=(1+x)+ce^x
sec y= (1+x)+ce^x
