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Differential Equations

Question

What is the degree of the following differential equation?
5x $5 x {(\frac{dy}{dx})}^{2} - \frac{d^{2} y}{{dx}^{2}} - 6 y = \log x$

Solution

$Given differential equation is 5 x {(\frac{dy}{dx})}^{2} - \frac{d^{2} y}{{dx}^{2}} - 6 y = \log x In the above equation the highest order derivative is \frac{d^{2} y}{{dx}^{2}} and its power is 1 . Thus, the degree of differential equation 5 x {(\frac{dy}{dx})}^{2} - \frac{d^{2} y}{{dx}^{2}} - 6 y = \log x is 1 .$

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Differential Equations

What is the degree of the following differential equation?
5x $5 x {(\frac{dy}{dx})}^{2} - \frac{d^{2} y}{{dx}^{2}} - 6 y = \log x$

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For Daily Free Study Material Join wiredfaculty

Differential Equations

What is the degree of the following differential equation?5x 5x dydx2 - d2ydx2 - 6y = log x

Some More Questions From Differential Equations Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

What is the degree of the following differential equation?
5x $5 x {(\frac{dy}{dx})}^{2} - \frac{d^{2} y}{{dx}^{2}} - 6 y = \log x$