Engine Operational
GATE CH 2020 (with Solutions).pdf

Q66

REVIEWNATpage 41holdmath reviewREVIEW_MATH_COMPLEXP2UNREVIEWED
type=NAT · page=41–42 · marks=2 · content_conf=0.7999999999999999 · math_conf=1

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Source / evidence

file: GATE CH 2020 (with Solutions).pdf
pages: 4142
assets/solutions/Q066/residual_70eaf6c5eac9.png

Extracted66 / 67

Given dy/dx=y−20 and yₓ₌₀=40, the value of y at x=2 is _______ (round off to nearest integer).

Options

none

Answer

168

Solution

..
Variable separable method :
..
lny20=x+Clny-20 = x+C
ln |20|=C
lny20=x+/ln20∴lny-20 = x+/ln20
..
[VISUAL / REVIEW — NO INVENTED LATEX]Source math clip
y = e^{2+}^l^n^{20}+20
y=167.78y = 167.78
y/approx168y /approx 168

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Math review evidence

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Source clip
source clip
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asset=assets/solutions/Q066/residual_70eaf6c5eac9.png
Raw text
(y−20)=e⁽²⁺^lⁿ ²⁰⁾
Current normalized
[VISUAL / REVIEW — NO INVENTED LATEX]
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Reason for review: Complex layout math with partial LaTeX still marked REVIEW_REQUIRED.

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Source PDF: GATE CH 2020 (with Solutions).pdf
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Equations:none

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