has characteristic equation
with roots at . Then the characteristic solution is
For the particular solution, consider the ansatz , whose first and second derivatives vanish. Substitute
and its derivatives into the equation:
Then the general solution to the equation is
With , we have
and with ,
Then the particular solution to the equation is
Answer:
Now, add these two equations.
You get,
Given,
You can test this to the other equation as well.
Hence, the two numbers are 14 and 10.
Answer:
4
Step-by-step explanation:
4 is a perfect square. We can pull 2 out from under the square root symbol.
The prime factor of 12 is 2.2.3. We can pull another 2 outside of the square root symbol. 2 x2 is 4 that will be outside of the square root symbol and the x, y and 3 will be left under the symbol.