Question

Find a function y of x such that
9yy′=x and y(9)=10.

Answer 1

\[9y~\frac{ dy }{ dx }=x\]
separate the variables and integrate.

Answer 2

9 y dy=x dx\[\int\limits 9y dy=\int\limits x dx\]
\[9\frac{ y^2 }{ 2 }=\frac{ x^2 }{ 2}+c\]
when x=9,y=10
find c
write the solution.