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Solve the differential equation $y^{\prime}=\frac{x^2}{y}$

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Solution

Formulas

Videos

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 - How to solve a quadratic when there are no solutions y=x^2+5

https://www.youtube.com/watch?v=5Oe9UkJRjSk

How to factor a quadratic equation by using a perfect square

https://www.youtube.com/watch?v=wb4T0j_C8bU

Tutorial Learn how to rewrite an equation from standard to vertex form so we can graph, y=x^2+6x+2

https://www.youtube.com/watch?v=KWsIyXdw2aU

Homogeneous Differential Equations

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

Algebra 2 - Learn how solve a quadratic by completing the square with fractions, x^2 + 3x + 6 = 0

https://www.youtube.com/watch?v=KWBr5zM3tXs

Function Plot

Plotting: $y=\sqrt{2\left(\frac{x^{3}}{3}+C_0\right)},\:y=-\sqrt{2\left(\frac{x^{3}}{3}+C_0\right)}$

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m
n
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x
y
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.
(◻)
+
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×
◻/◻
/
÷
◻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

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

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

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

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

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

Main Topic: 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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