Differential Equations and Calculus-Based Modeling
Question 1 of 30
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Let \(y(x)\) satisfy the initial value problem \[ \frac{dy}{dx}=(x^2+1)y,\qquad y(0)=2. \] What is the exact value of \(y(1)\)?
Select one option.
A
\(2e^{1}\)
B
\(2e^{4/3}\)
C
\(2e^{3/2}\)
D
\(e^{4/3}\)
E
\(4e^{1/3}\)
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