Solve the initial value problem yi = y1 + 2y2 + e2t – 2t y2 = -y2 +1+t Y1 (0) = 1, y2(0) = -4

Q: 3. Solve (x- 5)(x² +5x + 6) = 0

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Q: solve for x, (2² + 20x) ((2,² + 20x)/(2r/5 + 20))23 = 2/3 = 1489.64 2x + 20x

A: Let's find.

Q: what if y(0) = 6 instead?

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Q: if y+z=10, then (10x+y)(10x+z)=100x(x+1)+yz?

A: It is given that y+z=10. Use multiplication of binomials to find the value of the following:…

Q: find the general solution (u) youl - 13g" + 36y= 2x²-x+1

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve yp+xq + pq = 0

A:

Q: 1. X = 1+23+74 8- +9/10 5 6 1.1 - SHOW x as an expression tree 1.2- Is the tree binary? 1.3 - Count…

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Q: What if y(0) = 5 instead?

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Q: /Solve the following: ( ) 1 a) L-1 s(s²+a) 18z² (2 z-1)(4 z+1) b) Z¹

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Q: Solve x = x + 2y and y = 2x + y with x(0) = 1 and y(0) = 2.

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Q: If  x3 + y3 = 30, x+y =6, then 1/x+1/y = ?

A: We need to find,

Q: Solve 1 0-²40 = 5 x (0) = - 4, y(0) = 10

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Q: 1 x² + y² = 4

A: Given: 1x2+y2=4

Q: solve for x (x-4)2 =2x2-9x-14 If there is more than one answer, septerate with commons

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Q: 7. Solve for y 3(2y + 8) = 2x + 6

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Q: Please provide the solution for when x1=1 and y1=0

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Q: solve (2x+1)(x-1)=(y+5)(2y-5)

A: First we use distributive property on both sides. And then we move all the terms of the right side…

Q: 3(y+7)-7y=1 y=

A: First we distribute 3.

Q: 2. Use undetermined coefficients method to solve 1 yi = 4yı + 2 - 3e", y2 = 9y1 + 6y2 + 10e'.

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Q: Is (-2 , 2) a solution of y = 1/2x + 3 ?

A: The given equation is,

Q: 1/4(y+3)+5=1/3(4y-1)-21

A: Consider the given equation:

Q: 6. 2 a. Solve the equation 3(3x² + y2)x - 2xydy = 0. x² = c(9x² + y²) x² = c(3x² + y²) b. C. d. x³ =…

A: The given differential equation is a homogeneous differential equation. We can solve the given…

Q: solve for 1, x = 2x² – 5x + 2, z = - (x+t) - (x) t

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Q: Solve (x- 3)(x² – 3x + 4) = 0

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Q: 2Yp 2XP+Y=c

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.