Class 12 CBSE Applied Maths Differential Equations Exercise 8.4

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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Q6. Find the particular solution of the differential equation dy/dx=-4xy²,given that y=1 when x=0

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Q7. Solve the following differential equations

(i) 2(y+3)-xy dy/dx=0,given that y(1)=-2

(ii) dy/dx=x²e^-3y,given that y=0 for x=0

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Class 12 CBSE Applied Maths Differential Equations Exercise 8.4

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Q1. (i) x5dy/dx=-y5 (ii) x(1+y2)dx+y(1+x2)dy=0

Q2. (i) dy/dx=x+1/2-y (ii) ey-xdy/dx=1

Q3. (i) dy/dx=(ex+1)y (ii) dy/dx+ 1+y2/y=0

Q4. (i) (1+x2)dy=xydex (ii) xyy'=1+x+y+xy

Q5. (i) y(1-x2)dy/dx=x(1+y2) (ii) (y+xy)dx+x(1-y2)dy=0

Q6. Find the particular solution of the differential equation dy/dx=-4xy2,given that y=1 when x=0

Q7. Solve the following differential equations (i) 2(y+3)-xy dy/dx=0,given that y(1)=-2 (ii) dy/dx=x2e-3y,given that y=0 for x=0

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Q1. (i) x⁵dy/dx=-y⁵

(ii) x(1+y²)dx+y(1+x²)dy=0

Q2. (i) dy/dx=x+1/2-y

(ii) e^y-xdy/dx=1

Q3. (i) dy/dx=(e^x+1)y

(ii) dy/dx+ 1+y²/y=0

Q4. (i) (1+x²)dy=xydex

(ii) xyy'=1+x+y+xy

Q5. (i) y(1-x²)dy/dx=x(1+y²)

(ii) (y+xy)dx+x(1-y²)dy=0

Q6. Find the particular solution of the differential equation dy/dx=-4xy²,given that y=1 when x=0

Q7. Solve the following differential equations

(i) 2(y+3)-xy dy/dx=0,given that y(1)=-2

(ii) dy/dx=x²e^-3y,given that y=0 for x=0