Find an explicit solution of the given initial-value problem. x2 dy = y − xy, y(-1) = -3 dx y =

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A: Given problem:- The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount…

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A: NOTE: Refresh your page if you can't see any equations. . the given mass is   kg . the spring…

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A: Let's find speed of boat.

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A: Let's solve homogeneous diffrential equation.

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Q: 4. Using the vectors: ü=[2,-1,3], v=[4,5,-2], w=[1,-1,7], calculate: a) b) ux v c) ū+ v +2w

A: Here we have to perform the vector operation

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A: Let's solve diffrential equation by using laplace transform.

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A: Given graph:-

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Q: 2a)Use triple scalar to verify that the following vectors are not coplanar. a=[-2,1,0], 5=[-3,4,5],…

A: Given problem:- 2a)Use triple scalar to verify that the following vectors are not coplanar.…

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A: Follow the procedure given below.

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A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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Q: Find a function F(x) satisfying the given conditions. 1. F'(x) = 2x ; F(1) = 2 2. F'(x) = 3x² + 2;…

A: To find a function Fx satisfying the given conditions.1 F'x=2x; F1=22 F'x=3x2+2; F-3=-323…

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A: We have to find out graph

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Q: 4. Determine a value of k for which the line L₁ : x=2s, y = 1+ks, z = 2-s, se R and the line…

A: Topic = Geometry As per guidelines , At a time only one question can be answered. please repost for…

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A: Given y=3-6-35   , v1=-1-44-1  , v2=0220

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A: If the acceleration A(t) of an object is inversely proportional to the square of its speed S(t);…

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A: Solution

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A: We can solve as follows

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Q: Consider the following homogeneous differential equation. y dx = 2(x + y) dy Use the substitution x…

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Q: 1) Write a differential equation that models this situation. Let V represent the volume (in gallons)…

A: Note: as per guidelines we support only three subparts of the questions.kindly repost next…

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A: see below the answer and calculation