Question

The order of the differential equation dy/dx +4y=2x is?

Answer 1

Answer:

y=Ce4x

Explanation:

We can separate the variables:

dydx=4y ⇒ dy4y=dx

Integrate both sides:

∫dy4y=∫dx ⇒ 14∫dyy=∫dx ⇒ 14ln(y)=x+C

Solving for y:

ln(y)=4x+C ⇒ y=e4x+C=e4x⋅eC=Ce4x

PLZ  MARK IT AS BRAINLIEST

Answer 2

The highest order derivative here is dy/dx
As the differentiation is done only once, the order will be 1.