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Solve the differential equation $y^{\prime}=2y+x^2+5$

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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 - Solving a factored quadratic equation using the zero product property, -x(3x + 5) = 0

https://www.youtube.com/watch?v=3on6rsKoK_k

Algebra 2 - Completing the square to solve a quadratic with irrational solutions, 2x^2 - 10x + 5 = 0

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

Tutorial - Solving logarithmic equations ex 10, log(2x)+log(x-5)=2

https://www.youtube.com/watch?v=fzjoQXBd0uU

Tutorial - Solve using the perfect square trinomial factoring technique y=4x^2+16x+16

https://www.youtube.com/watch?v=Kl5DA2U7vJU

Algebra 2 Completing the square to write a quadratic from standard form to vertex form, y=-3x^2+6x-5

https://www.youtube.com/watch?v=pUaEwqYb-K8

Function Plot

Plotting: $y=\left(\frac{x^2}{-2e^{2x}}+\frac{\left(-\frac{1}{2}\right)x}{e^{2x}}+\frac{-1}{4e^{2x}}+C_0\right)e^{2x}$

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5
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7
8
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

How to improve your answer:

Similar Problems Solved

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$\frac{dy}{dx}=y-x$

$\frac{dy}{dx}=x-2y+12$

$\frac{dy}{dx}+3x^2y=6x^2$

$\frac{dy}{dx}=xy+2x$

$\left(x^2+1\right)\frac{dy}{dx}+3xy=6x$

$y'-xy=1-x$

Main Topic: Integration Techniques

They are advanced tools for solving more complex integrals.

Used Formulas

See formulas (4)

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