Examples of Differential Equations With Rules for Their Solution
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To quickly assess the difficulty of the text, read a short excerpt:
6. Sin 2 a; sin 2 (# — y) = c. 7. Y = e~- fpdx ffQe- r '"' x dx + c\ Art. 28.
1. (# — a)(y — b)(z — c) = c f . 7. Z = c&.
2. A^+22/ 2 — 6o?2/— 2xz+z 2 =c. 8. #?/ = c (a -f z) .
3. Yz + zx + xy = c. 9. « = • -4-c.
y + a 4. Xyz = c. 10. Y(a + z) = c(y + «) # 5. E*(y + s) = c 11. E?(x + y + z 2 ) = c.
6. 5 + » + 2. A 12. I±» + »±f. Ii x y z x y Art. 30.
1. (y-2a + c)(# — 3a; + c) = 0, or (5a- 2y + c)*m&.
2. (y + c) 2 = a 2 (logx) 2 . 3. (?/ + c) 2 = 4aa.
4. (2/ + c) 2 = (V^ =: ^ + sin- 1 VS) 2 .
5.... (ajy + c)(afy + c)=0.
6. (a 2 -2;y + c)[e*(a + 2/-l) + c]=0.
7. (y + c)(y + » 2 + c)(a?y + cy+l) = 0.
8. (a?-3y + c)(e2+cy)(ay + cy + l) = 0.
9. Y 2 sin 2 x + 2cy + c 2 = 0.
Art. 32.
1 . Eliminate p by means of x = — — =■ (c-\-a sin -1 p) .
Vl — p 2 2. Eliminate p by means of x(p — 1) 2 = logp 2 — 2p + c.
3. Eliminate p by means of a? = — y f cH (-atan _1 »V 40 ANSWERS.
4. Y = cx-\-c — c 2 .
5. X = a log (ay ± Va 2 + f - 1 ) + log (y qp Va 2 + f - 1 ) + c.
What to read after Examples of Differential Equations With Rules for Their Solution?
You can find similar books in the "Read Also" column, or choose other free books by George a George Abbott Osborne to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
6. Sin 2 a; sin 2 (# — y) = c. 7. Y = e~- fpdx ffQe- r '"' x dx + c\ Art. 28.
1. (# — a)(y — b)(z — c) = c f . 7. Z = c&.
2. A^+22/ 2 — 6o?2/— 2xz+z 2 =c. 8. #?/ = c (a -f z) .
3. Yz + zx + xy = c. 9. « = • -4-c.
y + a 4. Xyz = c. 10. Y(a + z) = c(y + «) # 5. E*(y + s) = c 11. E?(x + y + z 2 ) = c.
6. 5 + » + 2. A 12. I±» + »±f. Ii x y z x y Art. 30.
1. (y-2a + c)(# — 3a; + c) = 0, or (5a- 2y + c)*m&.
2. (y + c) 2 = a 2 (logx) 2 . 3. (?/ + c) 2 = 4aa.
4. (2/ + c) 2 = (V^ =: ^ + sin- 1 VS) 2 .
5.... (ajy + c)(afy + c)=0.
6. (a 2 -2;y + c)[e*(a + 2/-l) + c]=0.
7. (y + c)(y + » 2 + c)(a?y + cy+l) = 0.
8. (a?-3y + c)(e2+cy)(ay + cy + l) = 0.
9. Y 2 sin 2 x + 2cy + c 2 = 0.
Art. 32.
1 . Eliminate p by means of x = — — =■ (c-\-a sin -1 p) .
Vl — p 2 2. Eliminate p by means of x(p — 1) 2 = logp 2 — 2p + c.
3. Eliminate p by means of a? = — y f cH (-atan _1 »V 40 ANSWERS.
4. Y = cx-\-c — c 2 .
5. X = a log (ay ± Va 2 + f - 1 ) + log (y qp Va 2 + f - 1 ) + c.
What to read after Examples of Differential Equations With Rules for Their Solution?
You can find similar books in the "Read Also" column, or choose other free books by George a George Abbott Osborne to read onlineMoreLess
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