Answers>Maths>A Level>Article

Find the general solution of 2 dy/dx - 5y = 10x

Try y=Ae^bxdiffrentiate this (dy/dx = Abe^bx) and sub into 2dy/dx -5y = 0 to find complementary function. 2Abe^bx - 5Ae^bx = 0 2b - 5 = 0 b = 2.5 Find the particular integral using trial solution y = Cx+D, dy/dx = C 2C - 5(Cx+D) = 10x Separate constants and x terms to solve for C and D -5Cx = 10x C=-2 2C - 5D = 0 -4 - 5D = 0 D=-4/5 Combine these two solutions to find the general solution. The answer contains a constant, more information is needed to find A y = Ae^2.5x - 2x - 4/5

Answered by Amy H. • Maths tutor

5504 Views

See similar Maths A Level tutors

Find the general solution of 2 dy/dx - 5y = 10x

Related Maths A Level answers

integrate xcosx

How do I use the product rule for differentiation?

y(x) = x^2(1-x)e^-2x , find y'(x) in the form of g(x)e^-2x where g(x) is a cubic function to be found

How do I differentiate (x^2 + 3x + 3)/(x+3)