Use DSolve (Mathematica) to find the solutions to the following equations. Part A (x² +y²) dx+(x² +xy) dy=0 Part B dx/dy=-(4y²+6xy)/(3y²+2x) Part C (2x+y+1)(dy/dx)=2 Part D (dy/dx)-4xy=sin(x^2)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Please give me correct solution.
Use DSolve (Mathematica) to find the
solutions to the following equations.
Part A
(x² +y²) dx+(x² +xy) dy=0
Part B
dx/dy =-(4y²+6xy)/(3y²+2x)
Part C
(2x+y+1)(dy/dx)=2
Part D
(dy/dx)-4xy=sin(x^2)
I thought I knew how to code this into
Mathematica, but clearly I don't. What I
have for part a is DSolve[y'[x] == -((x^2 +
y[x]^2)/(x^2 + (x*y[×]))), y[×], ×], but it is not
giving me the solution. What am I doing
wrong?
Transcribed Image Text:Use DSolve (Mathematica) to find the solutions to the following equations. Part A (x² +y²) dx+(x² +xy) dy=0 Part B dx/dy =-(4y²+6xy)/(3y²+2x) Part C (2x+y+1)(dy/dx)=2 Part D (dy/dx)-4xy=sin(x^2) I thought I knew how to code this into Mathematica, but clearly I don't. What I have for part a is DSolve[y'[x] == -((x^2 + y[x]^2)/(x^2 + (x*y[×]))), y[×], ×], but it is not giving me the solution. What am I doing wrong?
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