# calculus

solve the initial value problem by separation of variables dy/dx=y^(2)+1, y(1)=0

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1. The integral of dy/(y^2 +1) equals the integral of dx. Integrate both sides from the y(1) = 0 point

arctany - arctan0 = (x - 1)

arctany = (x-1)

y = tan(x-1)

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