Let with . Which of the following gives explicitly as a function of…

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Let

\dfrac{dy}{dx}=(y^{2}+1)e^{x}

with

y(0)=0

. Which of the following gives

y

explicitly as a function of

x

? (a)

y=\tan\bigl(e^{x}+1\bigr)

(b)

y=\tan\bigl(e^{x}\bigr)

(c)

y=\tan\bigl(e^{x}-1\bigr)

(d)

y=\arctan\bigl(e^{x}-1\bigr)

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