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Differential Equations question

2024 · 4 Apr · Shift 1 · Q51

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JEE Main
Mathematics
Differential Equations
2024 · 4 Apr · Shift 1 · Q51

Differential Equations question

2024 · 4 Apr · Shift 1 · Q51

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

Let the solution

y=y(x)

of the differential equation

\frac{\mathrm{d} y}{\mathrm{~d} x}-y=1+4 \sin x

satisfy

y(\pi)=1

. Then

y\left(\frac{\pi}{2}\right)+10

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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