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find general solution to: x(dy/dx) + 2y = 4x^2

Divide through by x so: (dy/dx) +2(y/x) = 4x Now multiply through by the intergrating factor: e^(| (2/x) dx) = e^(2.ln(x)) = x^2 so you get: (x^2)(dy/dx) + 2xy = 4(x^3) Now integrate the entire equation and ...
MP
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Find Solution to x^2 + x - 2=0

Using the factorisation method. the factorised solution will look like (x+a)(x+b) = 0 by multiplying these two brackets we get the equation: x^2 + a.x+b.x + a.b = 0 so vomparing this to the equation in the q...
MP
Answered by Matthew P. • Maths tutor
5897 Views

What factors can shift the supply curve and explain the impact of a change in one of these factors on the supply curve.

Different factors can shift the supply curve. It must be noted that changes in prices do not shift the supply curve, but causes a movement along the curve. In order to shift the curve, there must be changes ...
SS
Answered by Shona S. • Economics tutor
33716 Views

How do you factorise fully 3 a^3 b + 12 a^2 b^2 + 9 a^5 b^3?

WORKING OUT 3a 3 b+12a 2 b 2 +9a 5 b 3 1) 3(a 3 b+4a 2 b 2 +3a 5 b 3 ) 2) 3a 2 (ab+4b 2 +3a 3 b 3 ) 3) Fully factorised: 3a 2 b(a+4b+3a 3 b 2 ) BRIEFLY EXPLAINED Factorising is the process of taking out any ...
AW
Answered by Anna W. • Maths tutor
4772 Views

Predict the effect of an increase in pressure and temperature on the production of ammonia in the reaction: N2(g) + 3H2(g) <-> 2NH3 (g) , where the change in enthalpy is -92.4 kJ

An increase in temperature and an increase in pressure will have contradictory effects on the reaction. The effect of an increase in the temperature of a system, on the equilibrium of a reaction, is dependen...
AS
Answered by Aaron S. • Chemistry tutor
42451 Views