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

Try y=Ae bx diffrentiate 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,...
AH
Answered by Amy H. • Maths tutor
5432 Views

Solve the equation for x: 3x^2 -5 = 22

x =3 or x= -3
RM
Answered by Rachel M. • Maths tutor
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GCSE: I don't understand how to rationalise denominators

First, I would make sure the pupil understands why rationalising fractions is necessary. Then I would acquaint them with the relevant vocabulary so they can express their thought process better and understan...
CA
Answered by Cora A. • Maths tutor
4017 Views

How to do add or subtraction fractions?

A fraction a/b consists of a numerator (the part above the bar, a in this example) and a denominator (the part below the bar, b here). In order to add or subtract fractions, we need to make sure the denomina...
ML
Answered by Michelle L. • Maths tutor
4287 Views

Given that y > 0, find ∫((3y - 4)/y(3y + 2)) dy (taken from the Edexcel C4 2016 paper)

This can't be integrated directly as y appears in the numerator and denominator. This is an indication that you must integrate by parts. A/y + B/(3y+2) = (3y - 4)/y(3y + 2) A and B must be found. Multiply by...
SS
Answered by Saskia S. • Maths tutor
11990 Views