Differential Equations

Differential Equations – Alevels P3 May/June 2013 solution video

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Series of May/June 2013 past year questions: Part 1. This is a 9 mark question on differential equations in Alevels P3 May/June 2013 9709/33 question no 8.

The variables (x) and (t) satisfy the differential equation
[tdfrac{dx}{dt} = dfrac{k-x^3}{2x^2}]
for (t > 0), where (k) is a constant. When (t = 1), (x = 1) and when (t = 4), (x = 2).

(i) Solve the differential equation, finding the value of (k) and obtaining an expression of (x) in terms of (t). [9]

(ii) State what happens to the value of (x) as (t) becomes large. [1]

First Order Differential Equations Video 3

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Linear equations – use of the integrating factor.

The 4 methods to solve First Order Differential Equations :

1. direct integration
2. separating the variables
3. homogenous equations -using the substitution y=vx
4. linear equations – use of the integrating factor.

The last 3 methods are used in Further Maths eg FP2 and also in Engineering Maths.

This video covers the 4th method :

First Order Differential Equations Video 1

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1st Upload on First Order Differential Equations (total 3 parts)

Catch our uploads in 3 parts for the above, as we take a look at the 4 methods to solve First Order Differential Equations.

The 4 methods are :

  1. direct integration
  2. separating the variables
  3. homogenous equations -using the substitution y=vx
  4. linear equations-use of the integrating factor.

The last 3 methods are used in Further Maths eg FP2 and also in Engineering Maths.

We will upload the above in 3 parts, much like a trilogy. Keep a lookout, bookmark us.

Here goes the 1st part :

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