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Differential Equations

Differential Equations

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Question 1 of 25

1. Question
Solve the initial value problem 2x(y+1)dx –ydy = 0 where x=0 and y = -2.
- (y – x)eyʸ/ˣ = 2
- x³y – 3x² + y² = 9
- x² = y – ln (y+1) + 2
- xy’’ – (y’)³ – y’ = 0
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Question 2 of 25

2. Question
Determine the degree and order of the following differential equation:
- 2nd order, 1st degree
- 2nd order, 2nd degree
- 2nd order, 3rd degree
- 1st order, 2nd degree
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Question 3 of 25

3. Question
Eliminate the arbitrary constant from the equation: y = c₁e^-2x + c₂e^3x
- x³(y’)² + x²yy’ + 4 = 0
- (x² – y²)dx +2xydy = 0
- y’’ – y’ = 0
- y’’ – y’ – 6y = 0
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Question 4 of 25

4. Question
Determine the amount of material that will be left after 50 days. The initial amount of material is 1000 grams. After 30 days, the amount of material left is 750 grams
- 629.11 grams
- 619.11 grams
- 639.11 grams
- 609.11 grams
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