Question 1070848
Separate the variables,
{{{dy/sqrt(y+9)=sqrt(x-2)dx}}}
Integrate,
{{{2sqrt(y+9)=(2/3)(x-2)^(3/2)+C}}}
Using the given value,
{{{2sqrt(-5+9)=(2/3)(11-2)^(3/2)+C}}}
{{{2sqrt(4)=(2/3)(9)^(3/2)+C}}}
{{{2*2=(2/3)27+C}}}
{{{4=18+C}}}
{{{C=-14}}}
.
.
.
{{{highlight(2sqrt(y+9)=(2/3)(x-2)^(3/2)-14)}}}