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x^5 (dy)/(dx)=(-y)^5'...

x^5 (dy)/(dx)=(-y)^5'

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For each of the differential equations given below, indicate its order and degree (if defined) i) ((d^2 y)/(d x^2))+5 x((dy)/(dx))^2-6 y=log x ii) ((dy)/(dx))^3-4((dy)/(dx))^2+7 y = sin x iii) (d^4 y)/(d x^4)-sin ((d^3 y)/(d x^3))=0

Find the order and the degree of the following differential equation (d^2y)/(dx^2) + 5x ((dy)/(dx))^2 - 6y = log x

If dy/dx=1/(dx/dy) , Show that (d^2y)/(dx^2)=(-(d^2x)/dy^2)/((dx/dy)^3)

The differential equation representing the family of curves y=xe^(cx) (c is a constant ) is a) (dy)/(dx)=(y)/(x)(1-"log"(y)/(x)) b) (dy)/(dx)=(y)/(x)"log"((y)/(x))+1 c) (dy)/(dx)=(y)/(x)(1+"log"(y)/(x)) d) (dy)/(dx)+1=(y)/(x)"log"((y)/(x))

x (dy)/(dx)-y+x sin (y/x)=0

Show that the differential equation x cos(y/x) (dy)/(dx) = y cos(y/x) + x is homogeneous and solve it.

V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. (dy)/(dx)=(1+x^2)(1+y^2)

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  2. y log y d x- x d y=0

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  3. x^5 (dy)/(dx)=(-y)^5'

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  4. Find the general solution of (dy)/(dx)=sin ^-1 x

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  5. e^x tan y d x+(1-e^x) (sec ^2 y) d y=0

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  6. Find a particular solution satisfying the given condition.(x^3+x^2+x...

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  7. For the following differential equation find a particular solution sat...

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  8. cos ((dy)/(dx))=a, (a in R) , y=1, when x=0

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  9. (dy)/(dx)=y tan x , y=1 when x=0

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  10. Find the equation of a curve passing through (0,0) and whose different...

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  11. For the DE xydy/dx=(x+2)(y+2),find the solution curve passing throug...

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  12. Find the equation of a curve passing through the point (2,-2) given th...

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  13. At any point (x,y) of a curve, the slope of the tangent is twice the s...

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  14. The volume of spherical ballon being inflated at a constant rate. If i...

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  15. In a bank, principal increases continuosly at the rate of r% per year....

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  16. In a bank, principal increases continuosly at the rate of 5% per year....

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  17. In a culture , the bacteria count is 1,00,000. The number is increased...

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  18. The general solution of the differential equation (dy)/(dx)=e^(x+y) is

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  19. Show that the differential equation x cos(y/x)(dy)/(dx) = y cos(y/x) +...

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  20. solve the differential equation (x^2+x y) d y=(x^2+y^2) d x

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