For any polynomial equation, The Fundamental Theorem of Algebra tells you that the highest degree present will tell you how many complex roots the equation has. There are only two terms, "" and "3". The
term has a degree of 5, its exponent. The 3 term has a degree of zero, because you could write it as
using the zero exponent rule.
The degrees present are 5 and 0. Choose the highest one, 5. So, the answer here is D.
Answer:
Step-by-step explanation:
The given differential equation is :
xy′−3y=6
We want to determine which of the following options is a solution to the differential equations.
The function that satisfies the differential equation is a solution.
We can verify that
satisfy this differential equation.
We differentiate to get:
We substitute the function and its derivative into the differential equation to get:
We expand and simplify on the left:
This simplifies to:
Verified.
We can show that all the other functions do not satisfy this differential equation
