Solve the following ODEs by making an appropriate change of variable: (a) (y² - x²) dy=-2xy, 1-3y - 9x (b) dz 1+ y + 3x dy dr

Q: Q.2. If 7, 1, and r, be the roots of 2x +5x-330, then find: (a) E (b) Er

A: For given cubic equation first, we will find the roots of equation. so we will get real and complex…

Q: The temperature of points on a plate x2 + xy + y? <1 is modeled by the function f(x, y) = 25(x² +…

A: Given: The temperature of point on a plate x2+xy+y2≤1 is model by the function is : f(x, y)=25 x2+y2…

Q: fy = e2" 2-3 , then find y" at x = 0 Enter your answer as a decimal

A:

Q: Construct a truth table for each statement. Identify any tautologies. 5. ~q→p 56. р —~g 7. (~p q)→p…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: csch-x coth x dx

A:

Q: Q53- X--) (xij-Xi - X.j+X)=Zero 13D 「に )に prove that e to

A: We need to prove the given equation.

Q: ダ= secx Ptove that +イ=243

A: We can solve the problem by the properties of trigonometry.

Q: ᴡʜᴀᴛ ɪꜱ ᴛʜᴇ ᴘᴇʀɪᴏᴅ ᴏꜰ ᴛʜᴇ ꜰᴜɴᴄᴛɪᴏɴ ꜰ(x) = ₄ᴄᴏꜱ ₂π(x + ₃)? ᴀ. ₁ ʙ. π ᴄ. x + ₂ ᴅ. ₂π

A:

Q: (2a® + a² – x – 2)dæ

A:

Q: 9) Find the value of x that would make s || t. 3(x-8) 2(x + 10)

A: We have given the following information  We have to find the value of x so that line s and t become…

Q: 2 - ry + y + 1 1 y = +x - 1; y" =

A:

Q: Differentiate y=x√x.

A: Given : y = xx

Q: Solve for the value(s) of x given that b - b²+3 = (b²)*, where b > 1.

A:

Q: 20. Evaluate: 2x²Vx3 + 1 dx:

A:

Q: if it was, y- 2X COSX+ tanx2, and it's dy

A: Solve the following

Q: Consider the following polyhedron P = {x € R³ : 2.x1–x2+x3 -1, –2x1+x2+x3 = 0, x2+x3 > -1}. Decide,…

A: We are given the following polyhedron.        P=x∈ℝ3 : 2x1-x2+x3≤-1, -x1+2x2≤2, x1+x3≥-1,…

Q: A Click Submit to complete this assessment. Question 6 Simplify. a. (-1)(-1) = b. (-1)(-1)(-1) = C.…

A: Basic math formula

Q: xyy =x +1, with y(1)=2

A:

Q: c. csc ¹(-1) d. csc ¹(2) e. cot-¹(√3) of sau voy blo f. cot ¹(1) insgnet mort insnettib visvai zin1…

A:

Q: f2 x ex dx =

A: Solution is done in step 2

Q: 6. How many negative real zeros does the function f(x) = 625 - + 8x2 - 20 200 - O O or 2 O 1 or 3

A:

Q: f (3x² − 2) dx using the definition of the definite

A:

Q: use this graph off to find the solutions to f(x) = 0. 4 6 6 10

A: From the graph we need to find the solution of the equation f(x)=0

Q: Find the value of (x + y) , if | x +- + y x2 3 II

A:

Q: #6. Find 2²+3 (2-4) (2+i) §. #7. Find §- 211 Z(Z-3)² dz dz where C is 121= 2/2. where C is 12-31 =…

A:

Q: thereducedsystem yBY -t -t it CI

A:

Q: H.w E X3:- +4

A: We have the difference equation: yk+4+16yk=0

Q: Let c, d e R and c > 2 + d. Show that the following equation has two distinct real solutions: x + cx…

A: Consider a quadratic equation αx2+βx+γ=0 So the roots of the above quadratic equation are given by:…

Q: 1 5. Find three functions f, g,h that satisfy: f(g(h(x))=

A:

Q: where is unknown. and X₁, X2,..., Xnd Exp(0) Ho: 0= 2.0 vs. Ha: 02.0 Ô =X 2.2 n 100

A: Given  n=100, sample mean x̄=2.2  Level of significance ɑ=0.05

Q: Find y" for y = -2(x²+6)3 y" = x

A: