Question

The first order, first degree, linear differential equation among the following is .

• A. $\frac{dy}{dx}+x^2{y}^2=y$
• B. ${\left(\frac{dy}{dx}\right)}^2+y=1$
• C. $\frac{dy}{dx}=x^2$
• D. $\frac{d^{2}y}{d{x}^2}+x{y}^2=x$

Answer 1

The correct option is C $\frac{dy}{dx}=x^2$

A first order first degree linear differential equation is of the form $\frac{dy}{dx}+Py=Q$, where P and Q are constants or functions of x only.

For $\frac{dy}{dx}=x^2,P\left(x\right)=0,Q\left(x\right)=x^2$