Solve the differential equation $x^2y^{\prime}=4x^2+7xy+2y^2$

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Function Plot

Plotting: $-\frac{1}{2}\ln\left(\frac{y}{x}+2\right)+\frac{1}{2}\ln\left(\frac{y}{x}+1\right)=\ln\left(x\right)+C_0$

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.
(◻)
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◻/◻
/
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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: Integrals by Partial Fraction Expansion

The partial fraction decomposition or partial fraction expansion of a rational function is the operation that consists in expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

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