Find the sum of the order and degree of the differential equation y=x((d y/d x))3+(d2 y/d x2)

Question

Find the sum of the order and degree of the differential equation y=x((d y/d x))3+(d2 y/d x2) (A) 2 (B) 3 (C) 4 (D) 5

Tardigrade Admin · Accepted Answer

The order and degree of the given differential equation y=x((d y/d x))3+(d2 y/d x2) are 2 and 1 respectively. So, the sum of the order and degree of given differential equation is 3.

Q. Find the sum of the order and degree of the differential equation $y = x (\frac{d y}{d x})^{3} + \frac{d ^{2} y}{d x ^{2}}$

2

3

4

5

The order and degree of the given differential equation $y = x (\frac{d y}{d x})^{3} + \frac{d ^{2} y}{d x ^{2}}$ are $2$ and $1$ respectively. So, the sum of the order and degree of given differential equation is $3$ .

Q. Find the sum of the order and degree of the differential equation y=x(dxdy​)3+dx2d2y​

2

3

4

5

The order and degree of the given differential equation y=x(dxdy​)3+dx2d2y​ are 2 and 1 respectively. So, the sum of the order and degree of given differential equation is 3.

Q. Find the sum of the order and degree of the differential equation $y = x (\frac{d y}{d x})^{3} + \frac{d ^{2} y}{d x ^{2}}$

The order and degree of the given differential equation $y = x (\frac{d y}{d x})^{3} + \frac{d ^{2} y}{d x ^{2}}$ are $2$ and $1$ respectively. So, the sum of the order and degree of given differential equation is $3$ .