math
posted by Anonymous .
How would I use separation of variables to solve the initial value problem?
dy/dx = (y +5)(x+2)
I multiply both sides by dx so: dy= (y+5)(x+2)dx
Then I get variables on the same sides:: dy/(y+5)= (x+2)dx
Then I have to take integrals of both sides but this is where I get stuck. Can someone show me the rest? Thanks.

what is wrong with
ln(y+5)=1/2 (x+2)^2 +C
check
1/(y+5)dy=(x+2)dx
dy/dx=(x+2)(y+5)
Respond to this Question
Similar Questions

algebra
1 1 7 y  =  2 8 8 please help me! It isn't clear to me what this expression means. Can you clarify it? 
math, algebra
Problem: A formula for a football player's rushing average r with a total of y yards rushed in n carries of the ball is r=y/n. Solve for n. I have no other information this is how its in the book how do i even solve for n if theres … 
Pre Algebra
Here is another one I need help with. 5x+20=60 ( remember it is a equation with variables and integers.) Thank you once agian add 20 to both sides 5x=40 then multiply both sides by 1/5 x=8 Lance, Nice job, but you missed a negative … 
Algebra
89. Solve for x in the equation: 6/7x  6 = 2 I posted this before, and this is the reply I got from someone: multiply both sides by 7 6x42=14 add 42 to each side 6x=28 x=14/3 But I don't get how this is done because to eliminate … 
separation of variables
solve the initial value problem by separation of variables dy/dx=x2/y given y=5 when x=3 
separatio of variables
solve the initial value problem by separation of variables dy/dx=6x^2y and y(0)=4 
separation of variables
solving the initial value problem by separation of variables dy/dx=(4(sqrt of y)lnx))/x, y(e)=9 
separation of variables
solve the value problem by separation of variables dy/dx=x^2/y when y=5 and x=3 
Math/Calculus
Solve the differential equation y'=3t^2+4. Solve the initial value problem y(0)=3. Separation of variables! My work: dy/dt= 3t^2+4 dy= 3t^2+4 dt Then you integrate both sides. ∫ dy= ∫ 3t^2+4dt Question: is there a 1 in … 
math
y′=(2y+x)/x, y(1)=4 1. The resulting differential equation in x and u can be written as xu'= 2.Separating variables we arrive at du= dx/x 3.Integrating both sides and simplifying, the solution can be written in the …