CUET Mathematics - If the order and degree of the differential equation sqrt(d^2y/dx^2) = (1 + dy/dx)^1/3 are a and b respectively, then the value of a^2 + b^2 is | PYQs + Solutions

CUET Mathematics 2022 10 Aug Shift 1

Calculus

Medium

✅ Correct Option: 4

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Consider the curve which is represented by the differential equation $\frac{dy}{dx} = 1 + x + y + xy$ . If it passes through the point $(0,0)$ , then which of the following is/are true?

(A) it is a straight line.

(B) it is a parabola.

(D) Its equation is $xy(x + 1)\left(y - \frac{1}{\sqrt{e}} + 1\right) = 0$

Choose the correct answer from the options given below:

CUET Mathematics 2022 10 Aug Shift 1 PYQs

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