Class XII Maths Differential Equations 3

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Question 1

Solution of the equation cos x cos y= – sin x sin y is-

• Asin y + cos x = c
• Bsin y – cos x = c
• Csin y. cos x = c
• Dsin y = c cos x

Question 2

The solution of the differential equation x= y (log y – log x + 1) is-

• Ay = xe^cx
• By + xe^cx = 0
• Cy + e^x = 0
• DNone of these

Question 3

Family y = Ax + A³ of curve represented by the differential equation of degree-

• Athree
• Btwo
• Cone
• DNone of these

Question 4

If  = 1 + x + y + xy and y(–1) = 0, then function y is-

• A
• B
• Clog_e(1 + x) –1
• D1 + x

Question 5

The order and degree of the differential equation y = x + are-

• A1, 2
• B2, 1
• C1, 1
• D2, 2

Question 6

The degree of the differential equation is -

• A1
• B2
• C3
• DNone

Question 7

A curve passes through the point and its slope at any point is given by – cos². Then the curve has the equation y = ....

• Ay = x tan^–1
• By = x tan^–1 (ln + 2)
• Cy = tan^–1
• Dnone of these

Question 8

The order of the differential equation formed by differentiating and eliminating the constants from y = a sin²x + b cos²x + c sin 2x + d cos2x. Where a, b, c, d are arbitrary constants; is -

• A1
• B2
• C3
• D4

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