Class 12 CBSE Applied Maths Differential Equations Exercise 8.1

Class 12 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.

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Determine the order and the degree (when defined) of each of the following (1 to 9) Differential equations:

Class 12 CBSE Applied Maths Differential Equations Exercise 8.1

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Determine the order and the degree (when defined) of each of the following (1 to 9) Differential equations:

Q1. (i) y'+y=ex (ii) d2y/dx2=3xy +x2

Q2. (i) (x2y-3x)dy + (x3-3y2)dx=0 (ii) √1-y2 + √ 1-x2 dy=0

Q3. (i) (ii)

Q4. (i) (y')2 +y2 -1=0 (ii) y'' + 5x(y')2 -6y= logx

Q5. (i) (ii)

Q6. (i) (ii)

Q7. (i) (ii)

Q8. (i) (ii)

Q9. (i) (y''')2 + (y'')3+(y')4 + y5=0 (ii) (1-(y')2)3/2=ky''

Q10. Write the sum of the order and degree of the Differential equation

Q11. Find the product of the order and degree of the Differential equation

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Q1. (i) y'+y=e^x

(ii) d²y/dx²=3xy +x²

Q2. (i) (x²y-3x)dy + (x³-3y²)dx=0

(ii) √1-y² + √ 1-x² dy=0

Q3. (i)

(ii)

Q4. (i) (y')² +y² -1=0

(ii) y'' + 5x(y')² -6y= logx

Q5. (i)

(ii)

Q6. (i)

(ii)

Q7. (i)

(ii)

Q8. (i)

(ii)

Q9. (i) (y''')² + (y'')³+(y')⁴ + y⁵=0

(ii) (1-(y')²)^3/2=ky''