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Solve the differential equation $\left(t^2+1\right)w^{\prime}+tw=t$

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Solution

Formulas

Videos

Tutorial - How do we solve a system of linear equations using any method (x+3)/4+(y-1)/3 =1, 2x-y=12

https://www.youtube.com/watch?v=spCN2XloBBQ

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 - using the square root method to solve a quadratic equation 4x^2 - 4x + 1 = 9

https://www.youtube.com/watch?v=90FQ2oLoEEQ

Pre-Calculus - Solving a trigonometric equation with our angle divided by 4, 2sin(x/4)+sqrt(3) =0

https://www.youtube.com/watch?v=CijimYb5MTM

Pre-Calculus - Solving trigonometric equations ex 8, cosx + sinx.tanx = 2

https://www.youtube.com/watch?v=LasCSb_b4OY

Tutorial - Solve by factoring when a perfect square 0=x^2+6x+9

https://www.youtube.com/watch?v=F7O02LqPQp0

Function Plot

Plotting: $w=\frac{\sqrt{t^2+1}+C_0}{\sqrt{t^2+1}}$

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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: Integration by Trigonometric Substitution

Trigonometric substitution is the substitution of trigonometric functions for other expressions. One may use the trigonometric identities to simplify certain integrals containing radical expressions.

Used Formulas

See formulas (4)

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