What is the general solution of the differential equation y′ + 3..
What is the general solution of the differential equation y ′ + 3 x + 4 8 y = 0? => ( x + 48) 2 y = C or ( y + 48) 2 x = C or ( x + 48) 3 y = C or ( y + 48) 3 x = C..
To find the general solution of the following equations
(i) sin q = 0 (ii) tan q = 0 (iii) cos q = 0 (iv) cot q = 0..
Differentiability
We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f'(a) and f'(x) respectively. The restriction in both the cases is that 'the limit must exist'. If does not exist, then we say that the..
We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f'(a) and f'(x) respectively. The restriction in both the cases is that 'the limit must exist'. If does not exist, then we say that the..Differentiability
We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f (a) and f (x) respectively. The restriction in both the cases is that 'the limit must exist'. IfWe have already defined the derivative of a functio..
We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f (a) and f (x) respectively. The restriction in both the cases is that 'the limit must exist'. IfWe have already defined the derivative of a functio..Any function that satisfies a differential equation is known as the _..
Any function that satisfies a differential equation is known as the ________ of that differential equation. => Degree or Order or General solution or Particular solution or Linear solution..
Solution of a Differential Equation
Solution of a Differential Equation: The functional relation-ship between the independent variable and the dependent variable (such as y = f(x)) which satisfies the given differential equation is called the solution of the dif..
General formula:
C n H 2 n + 1 COCl where n = 0, 1, 2 ...
Formation of the Differential Equation that will Represent a Given Family of Curves
In this section we explained with examples how to form Differential Equation. Suppose a family of curves depending on one constant is given by F 1 : f (x, y, a)= 0 .(1) where a R is the parameter Differentiating (1) with respect to x, we have g (x, y, y',..
In this section we explained with examples how to form Differential Equation. Suppose a family of curves depending on one constant is given by F 1 : f (x, y, a)= 0 .(1) where a R is the parameter Differentiating (1) with respect to x, we have g (x, y, y',..The general solution of the differential equation dydx = y - 5 is
The general solution of the differential equation d y d x = y - 5 is => | y - 5| = C x or x = y 2 2 - 5 y + C or | y - 5| = C e x or | y - 5| = C e - x..
Result
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