Explain why (x – 4)² = –9 has no real solutions.

Q: Find the particular solution for: 3x²y' 5x - 6xy, x 2 when y = 1 %3D

A: This is linear differential equation. We solve it by finding integrating factor.

Q: Find the general solution of (29) y′′+9y=0.

A:

Q: x* + 2y? - 2x + 8y - 11 = 0 (illpse) x2 = 1 (llyperholu) 36 64

A: Equation of ellipse given is- x2+2y2-2x+8y-11=0 Standard form of this equation can be written as-…

Q: FIND THE GENERAL SOLUTION 2y) - 5y" - 3y" =0

A:

Q: 5x +3x+2=0 has 2 real solutions. O True False

A: We have to determine whether statement is true or false

Q: x-3y + 2z = 18 5x - 15y + 10z = 18 O No solution

A:

Q: Sketch 4x*2 -100y*2 = 25z*2 in R3

A: The standard equation of an ellipse is given by the expression x2a2+y2b2=1. R3 represents the space…

Q: . Find a general solution for y" + 4y = x² by method of undetermined coefficient

A:

Q: The general solution to 3x" + 2y = 0 can be obtained using?

A:

Q: Find the general solution of 6y''' + 11y'' - y' -6y=0

A: We have to find solution of given differential Equation.

Q: Explain how to get y=kx+b from y=x, and how to get y=ax^{2}+bx+c from y=x^{2}

A: Transformation of the function  f(x)+b shift b units upward f(x)-b shift b units downward…

Q: Example 4: Solve i) y" + 7y' + 10y = 2x + 3e*

A: the given differential equation isy''+7y'+10y=2x+3exfirstly complementary function CF and then PI…

Q: x + 3y = -21 -2x +4y = -28

A:

Q: If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

A: Given that  If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

Q: What is the value of 3x +4y if x = and y: 1

A: put value of x and y

Q: -7x - 2 y =-13 x – 2y = 11

A:

Q: If h(z) = 2x2 - 3r +1, what is h(-2)?

A:

Q: Find the solution to the 4x + y = 0 4x+y3D -8

A:

Q: y=x^2+2x+1 / x^2-2x+1 is equal to y'= -4(x+1) / (x-1)^3  True or False?

A: Simply and differentiate to get the answer.

Q: Find the general solution of tx -3x = t³+2t for t> 0.

A: Given DE is  tx'-3x=t3+2t .......(1) We find the general solution of (1).

Q: What is general solution of y" + 9y" = 0. %3D

A: Given the differential equation is y"' + 9y" = 0 Here the auxiliary equation is m3 + 9m2 = 0

Q: y"" - 3y" - y' + 3y = 0

A:

Q: Find the particular solution for: 3x2у' %3D 5х - 6ху, х-2 when y%3D1

A: Explanation of the answer is as follows

Q: Find the general solution of y'=2xy/y^2-x^2

A:

Q: x- y- 2z =-6 3x + 2y = -25 -4x + y - z = 12 Q12:

A: We have to solve the given equation.

Q: (4x-22) x = mZP = (10x-4)* m2Q = R %3D (x+ 11) m2R =

A: Given: m∠P=10x-4∘m∠Q=4x-22∘m∠R=x+11∘

Q: y + 2y %3D8t + 6 + 6е 2t

A: We have to find the homogeneous solution first.

Q: Find the general solution of 2xy^2 + 4 = 2[3 - (x^2)(y)]y'

A:

Q: -7x+/y=-19 -2.x+ 3y =-19

A: Given query is to find the solution of system of equation.

Q: Solve for x when x-3A + 2B = 0 -4 01 1 21 -5 and B =-2 1 A = 1 -3 %3D 2. 4 4]

A:

Q: Find the general solution of y(5) – 2y" – y' = 0

A: The given differential equation y(5)-2y'''-y'=0

Q: -V4-x² c3-x²-y² xdzdydx, -5+x2+y2

A:

Q: Verify that y = x² – 1 is a solution of (y')* + y² = -1. %3D

A: Given;            y=x2-1 is a solution of y'4+y2=-1 We compute the first derivative.…

Q: Find the general solution of (2) y′′′−3y′′+3y′−y=4et.

A:

Q: 5. 2X +4xy-3y = 5 3D5

A: Solution is given below:

Q: O OMS Bookmants y= 2x + 1

A: topic - slope intercept form y= mx +c is a slope intercept form where m is slope and c is y…

Q: 2x 2x is equal to 2-3x+2 r-1 r-2 r-2 O True OF.

A: Given query is to find statement is true or false.

Q: Find all the solutions of z° . .. + 8° = 0 + 8z° + 8²z7 +

A: (z9+8z8+82z7+83z6+8 4z 5+8 5z 4+8 6z 3+8 7z2 +88 z1 +89)=0multiply by (z-8) on both…

Q: 9. For Ax) = -4x+2, find (x) when x==1. %3D а. С. 2 b. -2 d. 6

A:

Q: (2 – x³ þ»* – 3.x²y' = 0 Yı =-1

A:

Q: Find two different particular solutions for 3a + 4y = 2

A:

Q: y=x-2 2x+2y 4

A: We have to solve the given problem by substituting.…

Q: Is t3 t2 – 2dt , can be solved by 3 methods? -

A: Yes, the above problem can be solved by three different methods. The three methods are as follow:…

Q: Can you please explain to me how you went from x^4+1 dydx to x^4+1 (x^3)?

A: Given- ∫08∫3y2x4+1dxdy Here we will use the following integration formula- ∫dx=x

Q: Find a real general solution x^2y"−20y=0

A:

Q: X+4y-z=-5

A: As per our guidelines only first question is solved.

Q: 6. Find all real solutions to V3x +1+ V9x + 4 = 11. Show your work!

A:

Q: 1. Solve for æ: 5x- (+4) = 2(x- 3). %3D 5. 1

A:

Q: 04: Show that y = 35x - 30x +3 satisfies (1-x)-2+20y = 0 da

A: We have to show y=35x4-30x2+3 satisfies 1-x2d2ydx2-2xdydx+20y=0