Which of the following is a solution to the differential equation xy′−3y=6 ?
1 answer:
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
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