The term differential equation refers to an equation that involves the dependent variable, independent variable, and another differential dependent variable coefficient. The differential equation is dy/dx or d2y/d2x.
Many methods will help solve the first-order, second-order, and differential equations. Such methods are:
Arrangement:
Given, differential condition y' + 5y = 0
Request = 1 (Highest request subordinate is y')
Degree = 1 (Highest power raised to y')
Arrangement:
Given, y = cos x + C
Separating the two sides as for x, we get,
y' = d/dx(cos x + C)
y' = - Sin x
Subbing the upsides of y' in the given differential conditions, y′ + sin x = 0, we get;
= y' + sin x
= - sin x + sin x
= 0
Here, y = cos x + C is an answer of y′ + sin x = 0.