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DIFFERENTIAL EQUATION OF FIRST ORDER AND FIRST DEGREE
Basics of Differential Equations
Order and Degree Examples of Differential Equation
General and Particular Solutions of differentail Equations
How to Solve Differential Eqations
Variable Separable Differential Equations
Solve Differential Equations using Polar Coordinates
Differential Equation function of ax+by+c
General Differential Equation
Homogenous Equation
Equatians Reducible to Homogenous Equations
Linear Differential Equation of First Order
Bernoulli's Equation
Differential Equations to be remembered
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General Differential Equation
TYPE–4
(dy/dx) = (a
1
x + b
1
y + c
1
) / ( a
2
x +b
2
y + c
2
) where b
1
+ a
2
= 0
Examples : (Simply cross multiply & note that the perfect differential of xy, integrate term by term)
(i) (dy/dx) = (4x-3y) / (3x-2y)
[Solution : 3x dy – 2y dy = 4x dx – 3y dx
or 3 (x dy + y dx) – 2y dy – 4x dx = 0
or 3d (xy) – 2y dy – 4x dx = 0 ; 3xy – y
2
– 2x
2
= c
(ii) (dy/dx) = (x-2y+5) / (2x+3y-1)
Discuss about Differential Equation
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Differential Equations
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indepedent and dependent variable
dependent variable :- which is depending upon some another variable let us take an example y=f(x)= 2sinx +x ,this is a function depending upon x , here x ( input in this function) is independent , u can choose any value for x and f(x) or y is another variable depending upon x is said to be the dependent variable
u can also understand by the meaning of domain and range
independent variable - inputs - domain ( values of x)
dependent variable - outputs - range ( values of y)
Posted By :-
sandeep1
May 22, 11:01:13 AM
3
2254
independent and dependent variables
Can some one explain the difference b/w independent and dependent variables
Posted By :-
kishor
Feb 4, 8:33:27 AM
0
1520
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