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Differential Equations
Solve the following ODE using the power series method:
(x + 2)y′′ + xy' − y = 0
(x + 2)y′′ + xy' − y = 0
Differential Equations
Identifying the differential equation and solve them
y=xy' + 1 - lny'
y=xy' + 1 - lny'
Differential Equations
obtain the fourier series expansion for the gollowing periodic function which has a period of
Differential Equations
Newton’s Law of Cooling states that the rate at which the object's temperature decreases is directly proportional to the difference between the temperature of the object and the ambient temperature. A cup of tea (temperature = 90°C) is placed in a room whose temperature is 30°C. After five minutes, the temperature of the tea has dropped to 70°C. After how much time would the temperature of the tea be 50°C?
Differential Equations
Solve the following ordinary differential equation:
(a) dy/dx=(y-x)/(x-4y)
(b) (2yx^2+4)dy/dx + (2y^2x-3)=0
(c) y"+3y'-10y=3x^2
(a) dy/dx=(y-x)/(x-4y)
(b) (2yx^2+4)dy/dx + (2y^2x-3)=0
(c) y"+3y'-10y=3x^2
Differential Equations
Identify the following differential equations and hence solve them
1) y'=-4/x^2 -y/x +y^2
2) y= xy'+1- ln y'
1) y'=-4/x^2 -y/x +y^2
2) y= xy'+1- ln y'
Differential Equations
The linear equation y = 4x + 90 can be used to calculate the total cost y (in pounds) for x teenagers attending if they choose the cinema. Explain why this equation holds
Differential Equations
(2yx^2 +4)dy/dx+(2y^2x -3)=0
Differential Equations
dy/dx=(y-x)/(x-4y)
Differential Equations
find the complete integral of the equation (dz/dx1)(dz/dx2)(dz/dx3)= (z^3 X1 X2 X3)
