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Solve the differential equation $\left(4y+yx^2\right)dy-\left(2x+xy^2\right)dx=0$

Step-by-step Solution

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Final Answer

$y=\sqrt{2.000006\left(\frac{\sqrt{4+x^2}}{C_2}\right)^{2}-2},\:y=-\sqrt{2.000006\left(\frac{\sqrt{4+x^2}}{C_2}\right)^{2}-2}$
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Step-by-step Solution

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Factoring by $y$

$y\left(4+x^2\right)dy-\left(2x+xy^2\right)dx=0$

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$y\left(4+x^2\right)dy-\left(2x+xy^2\right)dx=0$

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Learn how to solve problems step by step online. Solve the differential equation (4y+yx^2)dy-(2x+xy^2)dx=0. Factoring by y. Factoring by x. Grouping the terms of the differential equation. Multiply -1 times -1.

Final Answer

$y=\sqrt{2.000006\left(\frac{\sqrt{4+x^2}}{C_2}\right)^{2}-2},\:y=-\sqrt{2.000006\left(\frac{\sqrt{4+x^2}}{C_2}\right)^{2}-2}$

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Linear Differential EquationExact Differential EquationSeparable Differential EquationHomogeneous Differential Equation

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Function Plot

Plotting: $\left(4y+yx^2\right)dy-\left(2x+xy^2\right)dx$

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1
2
3
4
5
6
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
Dx
|◻|
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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