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Solve the differential equation $\frac{dg}{df}=3e^{2f}g^2-5g$

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Solution

Formulas

Videos

Algebra 2 - Learning to solve rational equations in math class ((x+3)/(x‐2)) + (5/(x^2‐4)) = 1

https://www.youtube.com/watch?v=y8p0Tpn3BcI

Algebra 2 - Converting an equation to exponential form and then solving log3 (4x-17) = 5

https://www.youtube.com/watch?v=JJCuM8NcWH8

Algebra 2 - Solving for a variable by converting to exponential form log4 (4x-20) = 5

https://www.youtube.com/watch?v=HNPmnB-KG88

Learn how to solve the separable differential equation

https://www.youtube.com/watch?v=Vqlf-IsRE0Y

Separable First Order Differential Equations - Basic Introduction

https://www.youtube.com/watch?v=C7nuJcJriWM

Laplace/step function differential equation | Laplace transform | Khan Academy

https://www.youtube.com/watch?v=R0JY8oWsuOY

Function Plot

Plotting: $\frac{dg}{df}-3e^{2f}g^2+5g$

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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: Integrals of Exponential Functions

Those are integrals that involve exponential functions. Recall that an exponential function is a function of the form f(x)=a^x.

Used Formulas

See formulas (4)

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