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Solve the differential equation $\frac{dy}{dx}=\frac{5}{x^2+15x+50}$

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Solution

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Videos

Algebra 2 - Learn how solve a quadratic by completing the square with fractions, x^2 + 3x + 6 = 0

https://www.youtube.com/watch?v=KWBr5zM3tXs

Homogeneous Differential Equations

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

Algebra 1 - Solve an equation with a rational term 1/x= 3+ 7/x^2+7x ex 2

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

Algebra 2 - Solving by factoring and using the square root method x^2 + 16x + 64 = 15

https://www.youtube.com/watch?v=WGuLJdN2Tuo

Algebra 2 - Solving an equation by completing the square - Math tutoring - tutorial x^2+4x=10

https://www.youtube.com/watch?v=EL6qk1FVa-Y

Algebra 2 - How to use completing the square to solve a quadratic equation y=x^2+8x+13

https://www.youtube.com/watch?v=o6G9YebM3Tg

Function Plot

Plotting: $\frac{dy}{dx}+\frac{-5}{x^2+15x+50}$

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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

How to improve your answer:

Similar Problems Solved

$\frac{dy}{dx}=\frac{x^2-y^2}{3xy}$

$\frac{dy}{dx}-2y=y^2$

$\frac{dy}{dx}=y^2-9$

$\frac{dy}{dx}=y^2-4$

$\frac{dy}{dx}=y-y^2$

$\frac{dy}{dx}=y\left(y+2\right)$

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

Main Topic: Integrals by Partial Fraction Expansion

The partial fraction decomposition or partial fraction expansion of a rational function is the operation that consists in expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

Used Formulas

See formulas (4)

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