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Pages:
1 page/≈275 words
Sources:
2 Sources
Level:
APA
Subject:
Mathematics & Economics
Type:
Math Problem
Language:
English (U.K.)
Document:
MS Word
Date:
Total cost:
$ 4.32
Topic:
Solving Partial Differential Equation (Math Problem Sample)
Instructions:
1: find the general integral surface of the quasi-linear differential equation
x(y^2-z)p+y(x^2+z)=(x^2-y^2 )z
Content:
Partial Differential Equation
Student’s Name:
Institution Affiliated:
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Question 1 Answer
Rewrite the general integral surface of the quasi-linear differential equation
xy2-zp+yx2+z=x2-y2z
Solution
dxxy2-z=dy-yx2+z=dzx2-y2z
dxx+dyy+dzz=0y2-z-x2+z+x2-y2=0
dxx+dyy+dzz=0
dxx+dyy+dzz=c1
lnxyz=lnc1xyz=c1
Again
dxxy2-z=dy-yx2+z=dzx2-y2z
xdxx2y2-z=ydy-y2x2+z=dzx2-y2z
xdx+ydy+dz=0x2y2-zx2y2-z-x2-y2z=0
xdx+ydy+dz=0
xdx+ydy-dz=c2
x2+y2-2z=c2
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