06 | 2nd Order Linear Differential Equation | Complementary Function | Differential Calculus
Tending to Infinity
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06 | 2nd Order Linear Differential Equation | Complementary Function | Differential Calculus
40 259 просмотров · 3 г. назад
Tending to Infinity
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40 259 просмотров · 3 г. назад
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This video lecture of 2nd Order Linear Differential Equation will help Engineering and Basic Science students to understand following topic of Mathematics:
1. Definitions of 2nd Order Linear Differential Equation
2. What is the complete solution of a linear differential equation
3. Different types of linear differential equation
4. How to solve different questions of Complementary functions
5. Solve Previous year question solution.
Step 1: First Convert the given equation into a homogenous equation by making the right hand side 0.
Step 2: Then Find the Auxiliary equation
Step 3: solve the auxiliary equation and get any of the following three cases.
Case 1: When the two roots of (3) are real and unequal , say m1 and m2
Case 2: When the two roots of (3) are real and equal , say 𝑚1=𝑚2=𝑚
Case 3: When the two roots of (3) are imaginary, say 𝑚=𝛼±𝑖𝛽, and 𝛼 & 𝛽 are two real numbers.
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