Answer:
The order of the differential equation to be formed is equal to the number of arbitrary constants present in the equation of the family of curves.
Consider the equation f ( x, y ,c1 ) = 0 -------(1) where c1 is the arbitrary constant. We form the differential equation from this equation. For this, differentiate equation (1) with respect to the independent variable occur in the equation.
Eliminate the arbitrary constant c from (1) and its derivative. Then we get the required differential equation.
Suppose we have f ( x, y ,c1 ,c2 ) = 0 . Here we have two arbitrary constants c1 and c2 . So, find the first two successive derivatives. Eliminate c1 and c2 from the given function and the successive derivatives. We get the required differential equation.
Note
The order of the differential equation to be formed is equal to the number of arbitrary constants present in the equation of the family of curves.
Answer:
105 I don't know if its correct
Answer:
Step-by-step explanation:
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→ 
[ add the x inside the bracket ]
→ 
[ remove the bracket ]
→ 
[ final answer ]
Answer:
(2x - 1)^2
Step-by-step explanation:
We can reverse engineer the solution...
to complete the square, we know (2x + __)^2 will generate the 1st term 4x^2
To generate the 2nd term, we will need -1, so (2x - 1)^2....
When expanded, we will have 4x^2 - 4x + 1, which we completed the square.
