Class XII Maths Differential Equations 4

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Question 1

If , then one of the values of x, satisfying y(x) = e + 1

• A– 1
• B– 1
• C+ 1
• D– 1

Question 2

Let f be a twice differentiable function satisfying f(2) = 2, then

• A for some
• B for at least one
• C
• D

Question 3

The curve satisfying the differential equation are

• Aellipses and hyperbolas
• Bellipses and parabola
• Cellipses and straight lines
• Dcircles and ellipses

Question 4

The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is

• A80
• B60
• C40
• D20

Question 5

Solution of the differential equation cosx dy = y (sinx – y) dx, 0 < x < π/2 is

• Asecx = (tanx + c) y
• By secx = tanx + c
• Cy tanx = sec x + c
• Dtan x = (sec x + c) y

Question 6

The solution of the differential equation  satisfying the condition y(1) = 1 is

• Ay = xe^(x–1)
• By = x ln x + x
• Cy = ln x + x
• Dy = x ln x + x²

Question 7

If , then is equal to

• A
• B
• C
• Dnone of these

Question 8

If, x > 0, then is

• A
• B
• C
• D

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