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Solve the differential equation $2y^{\prime}+y=0y=e^{\frac{-x}{2}}$

Step-by-step Solution

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Final Answer

$y=\frac{C_0}{2}$
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Step-by-step Solution

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Rewrite the differential equation using Leibniz notation

$2\left(\frac{dy}{dx}\right)+y=0y=e^{\frac{-x}{2}}$

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

$2\left(\frac{dy}{dx}\right)+y=0y=e^{\frac{-x}{2}}$

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Learn how to solve differential equations problems step by step online. Solve the differential equation 2y^'+y=0y=e^((-x)/2). Rewrite the differential equation using Leibniz notation. Any expression multiplied by 0 is equal to 0. Any expression multiplied by 0 is equal to 0. Integrate both sides of the differential equation, the left side with respect to .

Final Answer

$y=\frac{C_0}{2}$

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Function Plot

Plotting: $y=\frac{C_0}{2}$

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Answer Assistant

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Got a different answer? Verify it!

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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

How to improve your answer:

Main Topic: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

Used Formulas

1. See formulas

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