Home
Class 12
MATHS
(x-x^(3)) dy/dx + (2x^(2)-1) y = a x^(3)...

`(x-x^(3)) dy/dx + (2x^(2)-1) y = a x^(3)`

Text Solution

Verified by Experts

The correct Answer is:
`y = a x + cxsqrt(-x^(2))`
Promotional Banner

Topper's Solved these Questions

  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination(A. Multiple Correct Answers Type)|5 Videos

  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination(B. Interger Answers Type)|5 Videos

  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPE QUSETIONS|6 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos

  • LINEAR INEQUATIONS

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS (Assertion- Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

(x + 2y^(3)) dy/dx = y

x(1-x^(2)) dy + (2x^(2)y-y-5x^(3)) dx = 0

dy/dx - 2/(x+1)y = (x+1)^(3)

y(1-x^(2))dy=x(1+y^(2))dx

Solve :dy/dx + (1-2x)/x^(2)y=1

dy/dx + (4x)/(x^(2) + 1) y = 1/((x^(2) + 1)^(3))

y(1+x^(2))dy=x(1+y^(2))dx

Integrating Factor (I.F). Of the differential equation: (dy)/(dx) -(3x^(2))/(1+x^(3))y = (sin^(2)x)/(1+x) is:

(dy)/(dx)=(y^(2)-y+1)/(x^(2)-x+1)

(dy)/(dx)=(y^(2)-y-2)/(x^(2)+2x-3)