- How to integrate 1/ (1+sinx-cosx)? Thanks!?

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How to proof this? Plz somebody help me with this math question(P:posibility):
If P(A-B)=1/7 and P(B-A)=3/7 , what is the maximum amount of ( P(A) / P (B) )? The initial value problem x dy/dx -4y = 0, y(0)=k, has an infinite number of solutions for k = -? and no solution for k -? Solve the Differential equation. y (ln x - ln y) dx = (x ln x - x ln y - y) dy? Why nitrogen cycle important?