" 24.Find the polynomials "u(x)" and "v(x)" such that "(x^(4)-1)*u(x)+(x^(7)-1)*v(x)=(x-1)" ."

Consider the differential equation. Dy/dx +P(x)y = Q(x) (i) If two particular solutions of given equation u(x) and v(x) are known, find the general solution of the same equation in terms of u(x) and v(x). (ii) If alpha and beta are constants such that the linear combinations alpha.u(x) + beta.v(x) is a solution of the given equation, find the relation between alpha and beta . (iii) If w(x) is the third particular solution different from u(x) and v(x) then find the ratio v(x) u(x)/w(x)-u(x)

Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=7. If (u'(x))/(v'(x))=p and ((u'(x))/(v'(x)))=q, then (p+q)/(p-q) has the value of to (a) 1 (b) 0 (c) 7 (d) -7

Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=7. If (u'(x))/(v'(x))=p and ((u'(x))/(v'(x)))=q, then (p+q)/(p-q) has the value of to (a) 1 (b) 0 (c) 7 (d) -7

Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=7 . If (u'(x))/(v'(x))=p and ((u(x))/(v(x)))^'=q , then (p+q)/(p-q) has the value of (a) 1 (b) 0 (c) 7 (d) -7

Let u(x) and v(x) are differentiable function such that (u(x))/(v(x))=7 . If (u'(x))/(v'(x))=p and ((u(x))/(v(x)))^'=q , then (p+q)/(p-q)=

Let u(x) and v(x) are differentiable function such that (u(x))/(v(x))=6 . If (u'(x))/(v'(x))=p and ((u(x))/(v(x)))'=q then value of (p+q)/(p-q) is equal to

If (x+iy)^(3)= u +iv , then show that (u)/(x)+(v)/(y)=4(x^(2)-y^(2)) .

Let u(x) and v(x) are differentiable functions such that (u(x))/(v(x))=7 . If (u '(x))/(v '(x))=p and ((u(x))/(v(x)))^'=q , then (p+q)/(p-q) has the value equal to 1 (b) 0 (c) 7 (d) -7

Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))= 7. If (u'(x)/(v'(x))= p and ((u'(x))/(v'(x)))' = q, then (p+q)/(p-q) has the value of to (a) 1 (b) 0 (c) 7 (d) -7