((sqrtx)+1)dy/dx=(ysqrtx)/(x) + sqrt(y/x), y(2)=1

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Colby Messinger answered 2 years ago

1.) (10pts) Consider the following differential equation: (x^2)(dy/dx)=2x(sqrt(y))+(x^3)(sqrt(y)) a)Determine whether the equation is separable (S), linear...

1.) (10pts) Consider the following differential equation: (x^2)(dy/dx)=2x(sqrt(y))+(x^3)(sqrt(y)) a)Determine whether the equation is separable (S), linear (L), autonomous (A), or non-linear (N). (An equation could be more than one of these types.) b)Identify the region of the plane where the Chapter 1 Existence and Uniqueness Theorem guarantees a unique solution exists at an initial condition (x0, y0). 2.(12pts) Consider the IVP: y'+y=y/t , y(2) = 0 For each of the functions y1(t)and y2(t) below, decide if it is a solution...

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Solve the following DEs 1.) dy/dx + y =e^3x 2.) x^2y' +xy = 1 3,) x(dy/dx)-y...

Solve the following DEs 1.) dy/dx + y =e^3x 2.) x^2y' +xy = 1 3,) x(dy/dx)-y = x^2 sin(x) 4.) y' - 2y = e^2x, y(0) = 2 5.) cos(x)(dy/dx) + ysin(x) = 1, y(pi/4) = 0

I = ∫sqrt(4x^2+20) dx I = ∫(1)/(x^2*sqrt(x^2-a)) dx

dy/dx + y/x \ x3y2

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Question

((sqrtx)+1)dy/dx=(ysqrtx)/(x) + sqrt(y/x), y(2)=1

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