Question

10. The degree of differention Equation
(d^3y/dx^3)^2 +2 d^2y/dx^2 − dy/dx + x^2(dy/dx)^3 = 0 is _________
a. 2, b 1, c. 3, d. 4

Answer 1

Answer on Question #78008 – Math – Differential Equations

Question

The degree of differential Equation:

$$\left(\frac {d ^ {3} y}{d x ^ {3}}\right) ^ {2} + 2 \frac {d ^ {2} y}{d x ^ {2}} - \frac {d y}{d x} + x ^ {2} \left(\frac {d y}{d x}\right) ^ {3} = 0 \text{ is}$$

a. 2

b. 1

c. 3

d. 4

Solution

The degree of a differential equation is the power of the highest order derivative in the equation.

So, here degree is 2.

Answer: Degree is 2.

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