Question:
Eliminate constants from $y=A(x+B)^2$
Eliminate constants from $y=A(x+B)^2$
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Divide derivative equations to eliminate constants quickly.
Updated On: Jun 10, 2026
- $2yy''=(y')^2$
- $yy''=2y'$
- $2yy''=y'+y$
- $2yy''=y'-y$
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The Correct Option is A
Solution and Explanation
\[
y' = 2A(x+B), \quad y''=2A
\]
\[
(x+B)=\frac{2y}{y'}
\]
Substitute:
\[
(y')^2 = 2yy''
\]
\[
2yy''=(y')^2
\]
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