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ankoles [38]
3 years ago
9

What is an absolutist ruler?

SAT
1 answer:
AysviL [449]3 years ago
7 0
Description:
Absolute monarchy (or absolutism as doctrine) is a form of monarchy in which the monarch holds supreme autocratic authority, principally not being restricted by written laws, legislature, or customs. These are often hereditary monarchies.
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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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