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We will define linear differential equations with this presentation along with some theorems and proofs.
1.
Linear Differential
Equations of First
Order
Dr. J. Girish Kumar
Lecturer in Mathematics
Government Degree College
Jammalamadugu
2.
plications of Linear Differenti
The Hanging Chain, Pursuit Curves
Simple Electric Circuits
Newton’s Law of
Cooling
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3.
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4.
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5.
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6.
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7.
Given linear differential equation is
…(1)
Where ‘P’ and ‘Q’ are functions of ‘x’
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8.
…(2)
and
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9.
(function of ‘x’ alone)
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10.
Integrating on both sides, we get
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11.
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12.
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13.
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14.
Where and
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15.
The general solution of the given
differential equation is
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16.
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17.
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18.
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19.
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20.
Where and
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21.
The general solution of the given
differential equation is
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Dr. J. Girish Kumar
22.
Commissionerate of Collegiate Education
Dr. J. Girish Kumar
23.
Commissionerate of Collegiate Education
Dr. J. Girish Kumar
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