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Solve the differential equation $\frac{dy}{dx}=-\frac{1}{2}e^{\frac{x}{2}}\sin\left(5x\right)+5e^{\frac{x}{2}}\cos\left(5x\right)+y$

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Solution

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Videos

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

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Function Plot

Plotting: $\frac{dy}{dx}-\frac{1}{2}e^{\frac{x}{2}}\sin\left(5x\right)-5e^{\frac{x}{2}}\cos\left(5x\right)-y$

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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

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

$dy=\left(x-3y\right)dx$

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

$\frac{dy}{dx}=e^{x-y}+e^x+e^{-y}+1$

$\frac{dy}{dx}=\left(x-y+5\right)^2$

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

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

Main Topic: Differential Equations

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

Used Formulas

See formulas (5)

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