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Further Math

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Hey guys there aint many ppl givin Further Math .So all u FMers please post ur doubts or solve others as we have only two more days for CIE's officialy toughest subject....

Neways I will begin
In MJ05
for the differntiation of (2x^2 + bx + c) / (x^2-5x+4) the Answer is : (4xb)(x^2-5x+4) - ..... the rest as obvious... HOW IS THIS POSSIBLE...shouldnt it be (4x+B)(X^2-5x+4)....???

Please solve and post ur queries too
 
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I am as puzzled as you, I don't know why it is not (4x +b)(...)?
I am also stuck with question 8(ii), the proof by induction part on the same paper...
 
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A question from ON 03... please help..
Find the general solution of the differntial equation

d^2y/dt^2 + 4 dy/dt + 4y= e^-kt where k is a constant not equal to two... m findin trouble in findin the form of the particular integral... please help
 
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