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a) Find the general solution to the differential equation: f(x)=y''-12y'-13y=8. b) Given that when x=0, y=0 and y'=1, find the particular solution to f(x).

First consider y''-12y'-13y=0.

Try: y=emx. This gives y'=memx and y''=m2emx.

Substituting into the differntial equation we get: m2e

AP
6605 Views

How do I write the function 3cosθ+4sinθ in the form Rsin(θ + α), where R and α are positive constants?

Split it up into steps:

Step 1: Use compound angle trigonometric formula to re-write Rsin(θ + α)

Since generally sin(θ ± φ) = sinθcosφ ± cosθsinφ

Rsin(θ + α) = R(sinθcosα + cos...

OG
Answered by Oliver G. Maths tutor
12347 Views

Calculate the distance of the centre of mass from AB and ALIH of the uniform lamina.

The diagram shows the lamina shape.

To begin, divide the lamina into smaller sections and calculate the area. In this example, the lamina is best divided into sections A, B and C. Calculate the are...

CS
Answered by Chandler S. Maths tutor
5653 Views

How do I begin to analyse an unseen text?

The answer is simple and this structure can be applied to any type of text, irresective of the genre or length: Reading, reflecting and responding. Reading: At the beginning of the examination, the priori...

SG
Answered by Sorana G. English tutor
1797 Views

What is crossing over?

Crossing over is a process that happens during meiosis and results in genetic variation in gametes. It happens between prophase and metaphase. Pairs of homologous chromosomes lined up next to each other t...

EB
Answered by Erin B. Biology tutor
31151 Views

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