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|" 2."quad (dy)/(dx)+y=1,y!=1...

|" 2."quad (dy)/(dx)+y=1,y!=1

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(dy)/(dx) + y = 1( y ne 1)

(dy)/(dx) + y = 1( y ne 1)

(dy)/(dx) + y = 1( y ne 1)

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

If y^x=x^y then (dy)/(dx) at x=1, y=1 is

Solve: (d^2y)/dx^2=logx , given that y=1 and (dy)/(dx)=-1 when x=1

Solve: (d^2y)/dx^2=logx , given that y=1 and (dy)/(dx)=-1 when x=1

For each of the following differential equations verify that the accompanying functions a solution. Differential Function (a) x(dy)/(dx)=y, y=a x (b) x+y(dy)/(dx)=0, y=+-sqrt(a^2-x^2) (c) x(dy)/(dx)y=y^2, y=a/(x+a) (d) x^3(d^2y)/(dx^2)=1, y=a x+b+1/(2x) (e) y=((dy)/(dx))^2, y=1/4(x+-a)^2

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