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Solve the differential equation $y^{\prime}-y=t^2$

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Solution

Videos

Tutorial Learn how to rewrite an equation from standard to vertex form so we can graph, y=x^2+6x+2

https://www.youtube.com/watch?v=KWsIyXdw2aU

Homogeneous Differential Equations

https://www.youtube.com/watch?v=ZEJVyybsiT4

Calculus - Find the derivative of the inverse of a radical equation, f(x)=sqrt(x^2 +6x); find g'(4)

https://www.youtube.com/watch?v=ErarY1CS-bY

Quotient rule and common derivatives | Taking derivatives | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=E_1gEtiGPNI

Pre-Calculus - Solving a natural logarithm for the given problem lnx = -1

https://www.youtube.com/watch?v=h6OSBOdaLfI

Tutorial - How to solve a quadratic by completing the square ex 16, y = -4x^2 - 8x - 3

https://www.youtube.com/watch?v=oPhsWkA1vt8

Function Plot

Plotting: $y=-t^2-2t-2+C_0e^t$

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7
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9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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