Find the real value of $m$ for which the substitution $y = u^{m}$ will transform the differential equation $2 x^{4} y \frac{d y}{d x} + y^{4} = 4 x^{6}$ in to a homogeneous equation.

Views: 557 students

Found 4 tutors discussing this question

Asher Discussed

Find the real value of

m

for which the substitution

y = u^{m}

will transform the differential equation

2 x^{4} y \frac{d y}{d x} + y^{4} = 4 x^{6}

in to a homogeneous equation.

9 mins ago

Discuss this question LIVE

9 mins ago

Question Text

Find the real value of

m

for which the substitution

y = u^{m}

will transform the differential equation

2 x^{4} y \frac{d y}{d x} + y^{4} = 4 x^{6}

in to a homogeneous equation.

Filo tutor solution