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Solve the differential equation $\frac{dy}{dx}+\frac{-x}{y}=0$

Step-by-step Solution

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Solution

Formulas

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Final answer to the problem

$y=\sqrt{x^2+C_1},\:y=-\sqrt{x^2+C_1}$
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Step-by-step Solution

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Learn how to solve integrals of polynomial functions problems step by step online. Solve the differential equation dy/dx+(-x)/y=0. Grouping the terms of the differential equation. Multiplying the fraction by -1. x+0=x, where x is any expression. 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 of the equality.

Final answer to the problem

$y=\sqrt{x^2+C_1},\:y=-\sqrt{x^2+C_1}$

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Function Plot

Plotting: $\frac{dy}{dx}+\frac{-x}{y}$

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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:

Similar Problems Solved

$\frac{dy}{dx}=y^2-9$

$\frac{dy}{dx}=y^2-4$

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

$\frac{dy}{dx}=y\left(y+2\right)$

$\frac{dy}{dx}=\left(1+e^{-x}\right)\left(y^2-1\right)$

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

$\frac{dy}{dx}=y\left(1-y\right)$

Main Topic: Integrals of Polynomial Functions

Integrals of polynomial functions.

Used Formulas

See formulas (1)

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