The differential equation
y−4y^7=(y^6+6x)y′
can be written in differential form:
M(x,...
Mathematics, 26.10.2021 17:30 inucornspineapple
The differential equation
y−4y^7=(y^6+6x)y′
can be written in differential form:
M(x, y)dx+N(x, y)dy=0
where
M(x, y)=
, and N(x, y)=
.
The term M(x, y)dx+N(x, y)dy becomes an exact differential if the left hand side above is divided by y^7. Integrating that new equation, the solution of the differential equation is
=C.
Answers: 1
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