Balbharati Maharashtra State BoardStd 12 Commerce Statistics Part 1 Digest PdfChapter 8 Differential Equation and Applications Ex 8.5 Questions and Answers.
Maharashtra State Board 12th Commerce Maths Solutions Chapter 8 Differential Equation and Applications Ex 8.5
Solve the following differential equations.
Question 1
Maharashtra Board Solution
Solution & Step-by-Step Answer:
…….(1) This is the linear differential equation of the form This is the general solution.
Question 2
Maharashtra Board Solution
+ y = 3
Solution & Step-by-Step Answer:
+ y = 3 This is the linear differential equation of the form This is the general solution.
Question 3
Maharashtra Board Solution
x + 2y = x2. log x.
Solution & Step-by-Step Answer:
x + 2y = x2. log x ∴ …….(1) This is the linear differential equation of the form This is the general solution.
Question 4
Maharashtra Board Solution
(x + y) = 1
Solution & Step-by-Step Answer:
(x + y) = 1 ∴ = x + y ∴ – x = y ∴ + (-1) x = y ……(1) This is the linear differential equation of the form This is the general solution.
Question 5
Maharashtra Board Solution
y dx + (x – y2) dy = 0
Solution & Step-by-Step Answer:
y dx + (x – y2) dy = 0 ∴ y dx = -(x – y2) dy ∴ ∴ ……(1) This is the linear differential equation of the form This is the general solution.
Question 6
Maharashtra Board Solution
+ 2xy = x
Solution & Step-by-Step Answer:
+ 2xy = x ………(1) This is the linear differential equation of the form This is the general solution.
Question 7
Maharashtra Board Solution
(x + a) = -y + a
Solution & Step-by-Step Answer:
(x + a) + y = a ∴ ……..(1) This is the linear differential equation of the form This is the general solution.
Question 8
Maharashtra Board Solution
dy + (2y) dx = 8 dx
Solution & Step-by-Step Answer:
dy + (2y) dx = 8 dx ∴ + 2y = 8 …….(1) This is the linear differential equation of the form This is the general solution.
