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Find the general solution to the second order differential equation x'' - 2x' + x = e^(2t).

Firstly, note that the question only asks for the general solution (G.S.) to the equation, not for the whole solution. Now we have established what we need to find, construct the auxiliary equation. For this...
AB
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Find the stable points of the following function, determine wether or not they are maxima or minima. y= 5x^3 +9x^2 +3x +2

Start by differentiating the function to find points where the gradient is 0. so dy/dx = 15x^2 + 18x + 3 We can use the equation for finding the roots of a quadratic here, set a=15, b=18 and c=3 and proceed....
YC
Answered by Yusuf C. • Maths tutor
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What is the difference between osmosis and diffusion?

These two processes can often be confused very easily. To begin with both processes are based on the principle of molecules moving from an area of high concentration to an area of lower concentration. With d...
NT
Answered by Nathan T. • Biology tutor
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How does muscle contraction work?

So the muscle is made up of 2 muscle filaments, a thick filament called myosin and a thin one actin. This can be remembered by actin having 2 syllables which is less than myosin which has 3 so actin is thinn...
ST
Answered by Sonam T. • Biology tutor
9314 Views

7x-20=3x+4, what is the value of x?

The question is asking you to find the value of x, x represents a number. Therefore, 7x means 7 times a number- this the number we are trying to find out. The first step is to get all the numbers containing ...
RT
Answered by Rebecca T. • Maths tutor
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