Calc issues
Determine the General and Particular solutions of this First Order Differential equation by direct integration or by separating the variables as appropriate
y^2 dx/dy= x + 1 given that when y=-1, x=1
Multiply both sides by dy
Divide every term by y²(x+1)
Now we integrate every term
We solve for y:
That's the general solution.
Now we substitute: y=-1, x=1 to find which particular
solution is the equation for a graph of a curve that
goes through the point (1,-1)
We solve for C
We substitute that value for C in the general solution:
Edwin