Find the solution of the following equations: 1. у' —х-4ху 2. (2xy + x² + x+) dx – (1 + x²) dy = 0 3. (y – cos²x) dx + cos x dy = 0 4. Ay' + By = C are constants, yo = 0 5. у' %3D х3 — 2ху; х‑ 1, у 3 1 6. dQ/dt + 2Q/(10 + 2t) = 4; Q(2) = 100 7. dz/dy – (2/y) z = 2/3 yª 8. (x + 1) dy – 2y dx – 2(x + 1) dx = 0 9. dy/dx – y cot x = tan? x 10. xy.+ y = 3x?y+ %3D %3D %3D %3D %3D %3D 11 v(6v²- x – 1)dx + 2xdv = 0

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve the Differential Equation

Find the solution of the following equations:
1. у' %3D х—4ху
2. (2xy + x2 + x4) dx – (1 + x²) dy = 0
3. (y – cos?x) dx + cos x dy =
4. Ay' + By =C are constants, yo = 0
5. y' = x3 – 2xy ; x = 1, y = 1
6. dQ/dt + 2Q/(10 + 2t) = 4; Q(2) = 100
7. dz/dy – (2/y) z = 2/3 y^
8. (x + 1) dy – 2y dx – 2(x + 1) dx = 0
9. dy/dx – y cot x = tan? x
10. xy, + y = 3x?y
11. у(бу? — х— 1)dx + 2xdy - 0
%3D
-
%3D
%3D
%3D
%3D
%3D
-
%3D
Transcribed Image Text:Find the solution of the following equations: 1. у' %3D х—4ху 2. (2xy + x2 + x4) dx – (1 + x²) dy = 0 3. (y – cos?x) dx + cos x dy = 4. Ay' + By =C are constants, yo = 0 5. y' = x3 – 2xy ; x = 1, y = 1 6. dQ/dt + 2Q/(10 + 2t) = 4; Q(2) = 100 7. dz/dy – (2/y) z = 2/3 y^ 8. (x + 1) dy – 2y dx – 2(x + 1) dx = 0 9. dy/dx – y cot x = tan? x 10. xy, + y = 3x?y 11. у(бу? — х— 1)dx + 2xdy - 0 %3D - %3D %3D %3D %3D %3D - %3D
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