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Applied Mathematics · 2026 · 2 marks

CBSE 2026 · Central · Set 4 · Q22

(a) Solve the following differential equation: dy/dx=(2- y)/(x +1)

(a)
Solve the following differential equation :
$$\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{2-\mathrm{y}}{\mathrm{x}+1}$$
OR
(b)
If $\displaystyle \int_{\mathrm{a}}^{\mathrm{b}} \mathrm{x}^3 \mathrm{~dx}=0$ and $\displaystyle \int_{\mathrm{a}}^{\mathrm{b}} \mathrm{x}^2 \mathrm{~dx}=\frac{2}{3}$, then find the values of ‘a’ and ‘b’.

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