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Differential Equations · 2021 · 31 Aug · Shift 2

2 Mathematics questions from this JEE Main paper

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2021 · 31 Aug · Shift 2
Mathematics
Differential Equations

Differential Equations · 2021 · 31 Aug · Shift 2

2 Mathematics questions from this JEE Main paper

Q28.If $\frac{d y}{d x} = \frac{2 ^{x} y + 2 ^{y} .2 ^{x}}{2 ^{x} + 2 ^{x + y} l o g _{e} 2}$ , y(0) = 0, then for y = 1, the value of x lies in the interval :
Mathematics · Differential Equations · MCQ
Q29.If $y \frac{d y}{d x} = x \frac{y ^{2}}{x ^{2}} + \frac{ϕ ( \frac{y ^{2}}{x ^{2}} )}{ϕ ^{'} ( \frac{y ^{2}}{x ^{2}} )}$ , x > 0, $ϕ$ > 0, and y(1) = $-$ 1, then $ϕ (\frac{y ^{2}}{4})$ …
Mathematics · Differential Equations · MCQ