The order and degree of the differential equation whose solution is y = cx + c² - 3c³/2} + 2, where c is a parameter, is

Correct Answer is : order = 1, degree = 4

Correct Answer is : order = 1, degree = 4

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VITEEE 2018 Paper

Section: Mathematics

Question : 116 of 125

Marks: +1, -0

c^2 - 3c^{3/2}

+ 2, where c is a parameter, is

Solution:

y = cx +

c^2 - 3c^{3/2}

+ 2 ... (i)

Differentiating above with respect to x, we get

\frac{dy}{dx}

= c

Putting this value of c in (i), we get

y = x

\frac{dy}{dx}

\left(\frac{dy}{dx}\right)^2

- 3

\left(\frac{dy}{dx}\right)^{3/2}

+ 2

Clearly its order is ONE and after removing the fractional power we get the degree FOUR.

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