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Alex777 [14]
3 years ago
11

Complete the following statements. Paragraphs 1 and 2 . The paragraph sounds more like casual conversation.

SAT
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

1. A. <u>make the same basic argument </u>✔

2. B. <u>second</u> ✔

3. 1, 3, 4,

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The explicit solution to the differential equation is y = tan x

<h3>Differential equation</h3>

Given the differential function:

\frac{dy}{dx} =1 + y^2\\

Using the variable separable method;

\frac{dy}{(1+y^2)}= dx\\dx = \frac{dy}{(1+y^2)}

Integrate both sides of the equation

x = tan^{-1}y \\tan^{-1}y= x+C

y=tan(x +C)

Using the initial condition y(0) = 0

If x = 0

0 = tan(0 + C)

0 = tanC

C = arctan 0

C = 0

Recall that y = tan (x+C)

y = tan(x+0)
y = tan x

Hence the explicit solution to the differential equation is y = tan x

Learn more on differential equation here: brainly.com/question/1164377

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i4983u222

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