How to solve a standard first order differential equation?
First we must ensure that the differential is i the standard form of y' + p(x) y = f(x)The we use the integration factor I(x) = e to the integral of p(x)we then realise that if we differentiate this we will get I'(x) = p(x)* e to the integral of p(x) which is equal to I(x)*p(x)we then multiply the equation through by I(x) giving i(x) y' + I(x)*p(x) y = f(x) I(x)the left hand side can be simplified by the product rule of differentiation and we can then integrate through to find our answer
JB
Answered by Joe B. • Further Mathematics tutor
3185 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸I don't know what I am doing when I solve differential equations using the integrating factor and why does this give us the solutions it does?
How can we describe complex numbers ?
Find a vector that is normal to lines L1 and L2 and passes through their common point of intersection where L1 is the line r = (3,1,1) + u(1,-2,-1) and L2 is the line r = (0,-2,3) + v(-5,1,4) where u and v are scalar values.
Write 1 + √3i in modulus-argument form