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Find the values of the constants a and b for which ax + b is a particular integral of the differential equation 2y' + 5y = 10x. Hence find the general solution of 2y' + 5y = 10x .

We start by letting yp = ax+b, as suggested, and finding the derivative yp' = a. Substituing into ODE  (by way of matching coefficients) gives a pair of simulataneous (algebraic) equations:

(1) 2a=...

BR
Answered by Ben R. Maths tutor
4687 Views

Why is 2 + 2 not equal to 12?

This might seem like an obvious question and the instinctive urge is to disregard it entirely. Perhaps you would think "well that's silly, it's just not!"

Well, that's the intention of th...

XJ
Answered by Xav J. Maths tutor
4133 Views

What is meant by organic growth of a business?

Organic growth is when a business is using its profits to expand naturally, without needing to turn to external forms of investment such as a bank loan.

MB
2421 Views

How does glycolysis produce ATP?

Glycolysis produces energy through the form of ATP. ATP is created directly from glycolysis through the process of substrate-level phosphorylation (SLP) and indirectly by oxidative phosporylation (OP). Th...

CH
Answered by Charlie H. Biology tutor
33427 Views

integrate e^x sin x dx

1/2 ex (sin x -cos x)

SJ
Answered by Sam J. Maths tutor
4517 Views

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