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:
-2
Step-by-step explanation:
-9/3=-3
-3+b=-1
b=-1+3
b=-2
Answer:
Step-by-step explanation:
Let...
l=length
w=width
Because we know that the perimeter is 90, we can make this equation...
2l+2w=90
Because we know that the length is 5 feet less than 4 times the width, we can make this equation...
l=4w-5
We can solve this system through substitution...
2(4w-5)+2w=90
8w-10+2w=90
10w=100
w=10 ft
l=4(10)-5=35 ft
