Question

If \[x\] is treated as a function of \[y\], which form is a first-order linear differential equation?

Options

• \[\frac{d^2x}{dy^2}+P_{1}x=Q_{1}\]

• \[\frac{dx}{dy}+P_{1}x=Q_{1}\]

• \[\frac{dy}{dx}+P_{1}x=Q_{1}\]

• \[\frac{dx}{dy}+P_{1}y=Q_{1}\]

Answer 1

When \[x\] is treated as a function of \[y\], the required form is \[\frac{dx}{dy}+P_{1}x=Q_{1}\]. This is the corresponding first-order linear form in \[x\].