Maths Book back answers and solution for Exercise questions - Mathematics : Ordinary Differential Equations: Solution of First Order and First Degree Differential Equations: Variables Separable Method, Substitution Method - Exercise Problem Questions with Answer, Solution

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 */ x*2+*x* and which passes through the point (1, 0) .

4. Solve the following differential equations:

Tags : Problem Questions with Answer, Solution , 12th Maths : UNIT 10 : Ordinary Differential Equations

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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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