# Step-by-step Solution

Go!
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## Step-by-step Solution

Problem to solve:

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

Learn how to solve differential equations problems step by step online.

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

Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx-2x*y=x. We need to isolate the dependent variable y, we can do that by subtracting -2xy from both sides of the equation. Factor the polynomial x+2xy by it's GCF: x. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.

$y=\frac{C_0e^{\left(x^2\right)}-1}{2}$
SnapXam A2

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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
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

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