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Differential Equations — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDifferential Equations1 Mark
Question
Write the degree of the differental equation
$
\left(y^{\prime \prime \prime}\right)^2+3\left(y^{\prime \prime}\right)+3 x y^{\prime}+5 y=0
$
✓

Answer

Given differential equation is
$
\left(\frac{d^3 y}{d x^3}\right)^2+3\left(\frac{d^2 y}{d x^2}\right)+3 x \frac{d y}{d x}+5=0
$
Power of highest order derivative is 2 .
$\therefore$ Degree $=2$

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