Problem Questions with Answer, Solution - Exercise 10.5: Variables Separable Method, Substitution Method | 12th Maths : UNIT 10 : Ordinary Differential Equations
Chapter: 12th Maths : UNIT 10 : Ordinary Differential Equations
Exercise 10.5: Variables Separable Method, Substitution Method
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EXERCISE 10.5
1. If F is the constant force generated by the motor of an automobile of mass M , its velocity V is given by M dV/dt = F − kV , where k is a constant. Express V in terms of t given that V = 0 when t = 0.
2. The velocity v, of a parachute falling vertically satisfies the equation 
where g and k are constants. If v and x are both initially zero, find v in terms of x .
3. Find the equation of the curve whose slope is y−1 / x2+x and which passes through the point (1, 0) .
4. Solve the following differential equations:
Answers:
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12th Maths : UNIT 10 : Ordinary Differential Equations : Exercise 10.5: Variables Separable Method, Substitution Method | Problem Questions with Answer, Solution
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12th Maths : UNIT 10 : Ordinary Differential Equations