The order and the degree of differential equation d 4 y d x 4 - 4 d 3 y d x 3 + 8 d 2 y d x 2 - 8 d y d x + 4 y = 0 respectively are:

Question

The order and the degree of differential equation $\frac{d^{4} y}{d x^{4}} - 4 \frac{d^{3} y}{d x^{3}} + 8 \frac{d^{2} y}{d x^{2}} - 8 \frac{d y}{d x} + 4 y = 0$ respectively are:

Smart Achievers · Accepted Answer

(1)

Ans. order 4, degree 1

Explanation:

In the given equation, highest differential power is 4 and degree is one.

Solution

Q.
The order and the degree of differential equation $\frac{d^{4} y}{d x^{4}} - 4 \frac{d^{3} y}{d x^{3}} + 8 \frac{d^{2} y}{d x^{2}} - 8 \frac{d y}{d x} + 4 y = 0$ respectively are:

1 order 4, degree 1

2 order 1, degree 4

3 order 1, degree 1

4 none of the above

Ans.
(1)

Ans. order 4, degree 1

Explanation:

In the given equation, highest differential power is 4 and degree is one.

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