First Order Differential Equations Any first order differential

First Order Differential Equations Any first order differential equation that can be expressed in the form can be solved by separating the variables

First Order Differential Equations

First Order Differential Equations

First Order Differential Equations

First Order Differential Equations

First Order Differential Equations Exercise 9

First Order Differential Equations - Particular Solution Substitute x=0 when y = 4 to find the value of c

First Order Differential Equations - Particular Solution

First Order Differential Equations - Particular Solution when x = 0 Substitute x=0 when y = 0 to find the value of c when y=0

First Order Differential Equations - Particular Solution

First Order Differential Equations Exercise 10

First Order Differential Equations The rate of decay of a radioactive material decays at any instant is proportional to the mass of remaining at that instant. Given that there are x grams present after t days, the differential equation in x is modelled by The half-life of the radioactive material is approximately 25 days. Find the time taken for 100 g of the material to decay to 20 g.

First Order Differential Equations - Particular Solution

First Order Differential Equations - Particular Solution

First Order Differential Equations - Particular Solution

First Order Differential Equations A man is given a drug which causes an initial level of 2 mg of the drug per litre of his blood. After t hours there are x mg of the drug per litre and it is known that the rate of decrease of x is proportional to x. After 1 hour , x = 1. 6 mg (a) Calculate the value of x after 3 hours. (b) Calculate the time t after which x = 0. 5 mg

First Order Differential Equations

First Order Differential Equations

First Order Differential Equations (a) (b)

First Order Differential Equations Exercise 9 A

First Order Differential Equations –Integrating Factor Any first order differential equation of the form can be solved using the integrating factor method

First Order Differential Equations –Integrating Factor Multiply through by I. F.

First Order Differential Equations –Integrating Factor Multiply through by I. F.

First Order Differential Equations –Integrating Factor

First Order Differential Equations –Integrating Factor Multiply through by I. F.

First Order Differential Equations –Integrating Factor Substitution ! Multiply through by I. F.

First Order Differential Equations –Integrating Factor

First Order Differential Equations –Integrating Factor Multiply through by I. F.

First Order Differential Equations –Integrating Factor Multiply through by I. F.

First Order Differential Equations –Integrating Factor

First Order Differential Equations –Integrating Factor