<span>Differentiating :
y' = 1 + sec^2(x),
</span><span>
cosπ=−1</span><span>
plug in pi = -1 ,for x:
1 + sec^2(pi) = 1 + (-1)^2
= 2</span>
Answer: 1 1/3
Step-by-step explanation: slope is the difference in y values over the difference in the c values
A proportional graph is a straight line that goes through the origin while a non-proportional graph is a straight line that doesn't go through the origin.
y = mx + b
the b represents the y-intercept, so -3 is the y-intercept in the equation y = 3x -3
therefore, the line doesn't go through the origin and is a non-proportional equation
Hello!
Answer:
4- 8, 12, 16, 20, 24 ect keep adding 4
8- 16, 24, 32, 40, 48 ect keep adding 8
Step-by-step explanation:
both- 16, 24, 40, 48
Hope this helps have a good day! <3
Plz mark brainliest when u get the chance!
The Bernoulli equation is almost identical to the standard linear ODE.

Compare to the basic linear ODE,

Meanwhile, the Riccati equation takes the form

which in special cases is of Bernoulli type if

, and linear if

. But in general each type takes a different method to solve. From now on, I'll abbreviate the coefficient functions as

for brevity.
For Bernoulli equations, the standard approach is to write


and substitute

. This makes

, so the ODE is rewritten as

and the equation is now linear in

.
The Riccati equation, on the other hand, requires a different substitution. Set

, so that

. Then you have



Next, setting

, so that

, allows you to write this as a linear second-order equation. You have



where

and

.