SOLUTION: 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 d
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Determine the General and Particular solutions of this First Order Differential equation by direct integration or by separating the variables as appropriate
y^2 d
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Question 851663: 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
You can put this solution on YOUR website! 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
