Let y=y(x) be the solution of the differential equation (x+y+2)^2 \dx=d y, y(0)=-2. Let the maximum and minimum values of the function y=y(x) in [0, \frac{\pi}{3}] be \alpha and \beta, respectively. If (3 \alpha+\pi)^2+\beta^2=\gamma+\delta \sqrt{3}, \gamma, \delta \in \mathbb{Z}, then \gamma+\delta equals ........... [4 Apr 2024 Shift 2]

Differential Equations Part 2

Section: Mathematics

Question : 13 of 100

Marks: +1, -0

Let y=y(x) be the solution of the differential equation (x+y+2)2‌dx=dy,y(0)=−2. Let the maximum and minimum values of the function y=y(x) in [0,‌

] be α and β, respectively. If (3α+π)2+β2=γ+δ√3,γ,δ∈ℤ, then γ+δ equals ...........

[4 Apr 2024 Shift 2]

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