Question

A differential equation is said ti be... ,when the dependent variable y and all its derivative occur in the first
degree only and are not multiple togethercalled linear when the independent variable y and its all
derivatives occur
(A) linear
(B) exact
(C) variable seprable
(D) none of the above​

Answer 1

Linear equation in two variables

Answer 2

Answer:

In this case, the differential equation is said to be linear.

Step-by-step explanation:

A linear differential equation is of first degree with respect to the dependent variable (or variables) and its (or their) derivatives.

Linear differential equations possess the following properties:

• The function $y$ and its derivatives appear in the equation only up to degree one.
• There are no products of $y$ and/or any of their derivatives are present.
• There is no transcendental function – (trigonometric or logarithmic etc) of $y$ or any of their derivatives occur.

When, in an ordinary or partial differential equation, the dependent variables and their derivatives occur to the only degree one, and not as powers or higher products, the equation is said to be linear.