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physstudent1
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[SOLVED] Solving differential equations
Find the solution:
dy/dx = (1+y^2)/(1+x^2)
hint: there is a formula tan(a + b) that will simplify your answer.
y(0)=1
I separated the variables and integrated ending up with
arctan(y)=arctan(x)+c
I do not see how to take this to the answer below. I understand how to use the formula they gave me in the hint but I do not see how it applies here...
the answer is
y=(1+x)/(1-x) this problem is from my exam review we have the solutions but not how to get them...
Homework Statement
Find the solution:
dy/dx = (1+y^2)/(1+x^2)
hint: there is a formula tan(a + b) that will simplify your answer.
y(0)=1
Homework Equations
The Attempt at a Solution
I separated the variables and integrated ending up with
arctan(y)=arctan(x)+c
I do not see how to take this to the answer below. I understand how to use the formula they gave me in the hint but I do not see how it applies here...
the answer is
y=(1+x)/(1-x) this problem is from my exam review we have the solutions but not how to get them...