Consider the following linear homogeneous differential equations with initial conditions: y" - 2sy = 0 y(0) = 1, y'(0) = 0 y" + y' - 2y = 0 y(0) = 1, y'(0) = 0 y" + 2y' + y = 0 y(0) = 0, y'(0) = 1 y" - 9y = 0 y(0) = 1. y'(0) = 0 y" + y' = 0 y(0) = 2, y'(0) = -1 y" + 4y = 0 y(0) = 1, y'(0) = -1 y" - 4y' + 13y = 0 y(0) = 1, y'(0) = 0 for each of the equations given, find the characteristic equation and solve the differential equation to find the solution

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.

ιт ιѕ вє¢αυѕє:

6: 4= 3/2

18: 8= 9/4

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