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

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Solution

Formulas

Videos

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

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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

Algebra 2 - Solve a system of equation when they are the same line, 3x - 2y = -15; x - (2/3)y = -5

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https://www.youtube.com/watch?v=-KoKAxKj2G0

Function Plot

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

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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:

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$\frac{dy}{dx}=xy+1$

$\frac{dy}{dx}=xy-1$

$\frac{dy}{dx}=1+xy$

Main Topic: Differential Equations

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

Used Formulas

See formulas (1)

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