Find the general solution of the differential equation or state that the differe

Chardonnay Felix

Chardonnay Felix

Answered question

2021-09-21

Find the general solution of the differential equation or state that the differential equation is not separable.
y=x6y

Answer & Explanation

pivonie8

pivonie8

Skilled2021-09-22Added 91 answers

Step 1
Given differential equation:
y=x6y
Convert the above differential equation in the first order separable ordinary differential equation
yy=x6
Step 2
Integrate the both sides, we get
dyy=x6dx
We know that xndx=xn+1n+1+c
where, "c" is integrating constant.
ln(y)=x77+c
y=ex77+c

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