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Differential Equations problems (complete Playlist)
Explore a variety of examples and practiceĀ problems in the Differential Equations course in the video playlist below.
Euler Formula Complex Roots of the Characteristic Equation problems
Complex Roots of the Characteristic Equation example question
In each of the given examples, use Euler’s formula to write the given expression in the form a + ib.
Solution to this Differential Equations practiceĀ problem is given in the video below!
Wronskian of Functions problems
Wronskian of Functions example question
Find the Wronskian of the given pair of functions:
Solution to this Differential Equations practiceĀ problemĀ is given in the video below!
Second Order Differential Equations with Constant Coefficients problems
Differential Equation with Constant Coefficients example question
Find the general solution of the given differential equation
Solution to this Differential Equations practiceĀ problemĀ is given in the video below!
Exact Differential Equations problems
EXACT Differential Equation example question
Solve the differential equation
by first showing that it isĀ exact and then find the solution.
Solution to this Differential Equations practiceĀ problemĀ is given in the video below!
First Order Differential Equation Modeling Tank problems
First Order Differential Equation Modeling Tank example question
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 liters of a dye solution with a concentration of 1 gram per liter. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 liter per minute, the well-stirred solution flowing out at the same rate. Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.
Solution to this Differential Equations practiceĀ problemĀ is given in the video below!
Homogeneous Differential Equations problems
Homogeneous Differential Equation Equation example question
Solve the differential equation
by showing it is homogeneous and separable and thenĀ find the solution.
Solution to this Differential Equations practiceĀ problemĀ is given in the video below!
Separable Differential Equations problems
Separable Differential Equations example question
Solve the differential equation
by showing it is separable and then use Integration to find the solution.
Solution to this Differential Equations practiceĀ problemĀ is given in the video below!
Integrating Factor Differential Equations problems
Differential Equation Integrating Factor example question
Solve the differential equation
by using the Integrating Factor solution method.
Solution to this Differential Equations practiceĀ problemĀ is given in the video below!
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