Answer:
ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C
Step-by-step explanation:
dy/dx + 2y = 6
This is a first order linear ODE.
p(x) = 2
Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)
e^(2x)(dy/dx + 2y) = 6e^(2x)
e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx
Integrate both sides of the equation.
ye^(2x) = 3e^(2x) + C
Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.
Answer:
Step-by-step explanation:
The given equation is:

Simplifying the above equation, we get



therefore, the equation
matches with (B)
.
The given equation is :

Simplifying the above equation, we get



therefore, the equation
matches with (D) 
The given equation is:

Simplifying the above equation, we get



therefore, the equation
matches with (A)
.
The given equation is:

This equation ca't be firther simplified or factorised, thus the equation
matches with (C) Prime.
The answer is 4, 3/4s are in 3
Answer:
9 plus ten is 19
Step-by-step explanation: