A simplest differential equations of 1-order Step-by-Step
Detail solution
Divide both sides of the equation by the multiplier of the derivative of y':We get the equation:
y' =
This differential equation has the form:
y' = f(x)
It is solved by multiplying both sides of the equation by dx:
y'dx = f(x)dx, or
d(y) = f(x)dx
And by using the integrals of the both equation sides:
∫ d(y) = ∫ f(x) dx
or
y = ∫ f(x) dx
In this case,
f(x) =
Consequently, the solution will be
y =
or
y = + C1
where C1 is constant, independent of x