Question

Identify the degree of differential equation:
(i) $\frac{dx}{dy}+3xy=x^4$
(ii) $\frac{d^{2}y}{d{x}^2}+4\frac{dy}{dx}-by=sinx$

Answer 1

Not possible $\to$ two variable, only one equation

$\frac{dx}{dy}+3xy=x^4$

it is an implicit differential equation of degree $1$ because coefficient of $\frac{dx}{dy}$ is $1$

$\frac{d^{2}y}{d{x}^2}+\frac{4dy}{dx}-by=\sin x$

degree of $de$ is $2$