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Find the general solution of: y'' + 4y' + 13y = sin(x)

First we find the auxilary equation by substituting y with m^0, y' with m^1 and y'' with m^2. We get m^2 + 4m + 13 and find the roots using the differential equation, m = (-4 +- (16-4x1x13)^0.5)/(2x1).

Answered by Tom T. • Further Mathematics tutor

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Explain why, in theory, a perfectly contestable market results in an efficient allocation of resources

William J Baumol’s theory of contestable markets (1982) holds that there are markets served by a small number of firms, which are nevertheless characterized by competitive equilibria, and therefore, desir...

Answered by Rebecca M. • Economics tutor

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What is diffusion and what effects the rate at which it occurs?

Diffusion is the movement of particles from an area of high concentration to an area of low concentration (with the gradient). Once the concentration in each area is equal, the overall diffusion rate is 0...

Answered by Lucie C. • Biology tutor

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What is mRNA?

mRNA is one of the 3 types of RNA: the others being tRNA and rRNA. They all play a role in protein synthesis. mRNA stands for messenger ribonucleic acid. It is made by copying a strand of DNA called the t...

Answered by Lucie C. • Biology tutor

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What are the different types of transport across a membrane?

The different types of transport across a membrane can be divided into two main categories: active and passive transport. Active transport requires metabolic energy in the form of ATP and molecules are mo...

Answered by Steph F. • Biology tutor

14219 Views