Solve the following differential equation by using LDE method: y dx − x dy + x ln x dx = 0.
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Step-by-step explanation:
Question 3.
Give the steps you will use to separate the variables and then solve the equation:
(a) 3n – 2 = 46
(b) 5m + 7 = 17
(c) 20p3=40
(d) 3p10=6
Solution:
(a) 3n – 2 = 46
⇒ 3n- 2 + 2 = 46+ 2 (adding 2 to both sides)
⇒ 3n = 48
⇒ 3n + 3 = 48 ÷ 3Question 3.
Give the steps you will use to separate the variables and then solve the equation:
(a) 3n – 2 = 46
(b) 5m + 7 = 17
(c) 20p3=40
(d) 3p10=6
Solution:
(a) 3n – 2 = 46
⇒ 3n- 2 + 2 = 46+ 2 (adding 2 to both sides)
⇒ 3n = 48
- ⇒ 3n + 3 = 48 ÷ 3Question 3.
- Give the steps you will use to separate the variables and then solve the equation:
- (a) 3n – 2 = 46
- (b) 5m + 7 = 17
- (c) 20p3=40
- (d) 3p10=6
- Solution:
- (a) 3n – 2 = 46
- ⇒ 3n- 2 + 2 = 46+ 2 (adding Question 3.
- Give the steps you will use to separate the variables and then solve the equation:
- (a) 3n – 2 = 46
- (b) 5m + 7 = 17
- (c) 20p3=40
- (d) 3p10=6
- Solution:
- (a) 3n – 2 = 46
- ⇒ 3n- 2 + 2 = 46+ 2 (adding Question 3.
- Give the steps you will use to separate the variables and then solve the equation:
- (a) 3n – 2 = 46
- (b) 5m + 7 = 17
- (c) 20p3=40
- (d) 3p10=6
- Solution:
- (a) 3n – 2 = 46
- ⇒ 3n- 2 + 2 = 46+ 2 (adding 2 to both sides)
- ⇒ 3n = 48 Question 3.
- Give the steps you will use to separate the variables and then solve the equation:
- (a) 3n – 2 = 46
- (b) 5m + 7 = 17
- (c) 20p3=40
- (d) 3p10=6
- Solution:
- (a) 3n – 2 = 46
- ⇒ 3n- 2 + 2 = 46+ 2 (adding 2 to both sides) Question 3.
- Give the steps you will use to separate the variables and then solve the equation:
- (a) 3n – 2 = 46
- (b) 5m + 7 = 17
- (c) 20p3=40
- (d) 3p10=6
- Solution:
- (a) 3n – 2 = 46
- ⇒ 3n- 2 + 2 = 46+ 2 (adding 2 to both sides)
- ⇒ 3n = 48 Question 3.
- Give the steps you will use to separate the variables and then solve the equation:
- (a) 3n – 2 = 46
- (b) 5m + 7 = 17
- (c) 20p3=40
- (d) 3p10=6
- Solution:
- (a) 3n – 2 = 46
- ⇒ 3n- 2 + 2 = 46+ 2 (adding 2 to both sides)
- ⇒ 3n = 48
- ⇒ 3n + 3 = 48 ÷ 3
- ⇒ 3n + 3 = 48 ÷ 3
- ⇒ 3n = 48
- ⇒ 3n + 3 = 48 ÷ 3
- ⇒ 3n + 3 = 48 ÷ 3 to both sides)
- ⇒ 3n = 48
- ⇒ 3n + 3 = 48 ÷ 3 to both sides)
- ⇒ 3n = 48
- ⇒ 3n + 3 = 48 ÷ 3
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Step-by-step explanation:
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