Question

Find the D.E whose solution is $a^{2}y-ax+8=0$

• A. $8y{{}_1}^2+x{y}_1+y=0$
• B. $8y{{}_1}^2-x{y}_1+y=0$
• C. $8y{{}_1}^2-x{y}_1-y=0$
• D. $8y{{}_1}^2+x{y}_1-y=0$

Answer 1

The correct option is B $8y{{}_1}^2-x{y}_1+y=0$

$a^{2}y-ax+8=0$
$\Rightarrow a^2{y}_1-a=0$
$\Rightarrow a=1/y_1$
$\Rightarrow \frac{y}{y_1^2}-\frac{x}{y_1}+5=0$
$\Rightarrow 8y_1^2-y_{1}x+y=0$