The values of C, and C₂ so that y(x) = C₁x + C₂ (-) satisfies the two conditions y(1) = 1 and y'(1) = -1 are: O C1=1 and C2=0 ΟΟΟ C1=1/3 and C2=2 O C1=1/3 and C2=-2 O C1=5/3 and C2=2

Q: 1 Since of the equation is inexact. 7 c) (Sy-2x)y-2y P= -24 9 = (sy-2x); Since oy др = 52²-2xy ye 1…

A: The solution you have solved, is incorrect.

Q: If z = x² - xy + 3y2 and (x, y) changes from (3,-1) to (2.96,-0.95), compare the values of Az and…

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Q: Show that Q.) J′′0 (x)=−J0(x)−x−1J′0(x).

A: Here we have to show that, J0''x=-J0x-x-1J0'x

Q: By Lagrange's formula, prove that y =y3-0-3(ys-y- 3) + 0-2 (y_ 3 -y_5).

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Q: Let z = 8x2 + 7y2, and suppose that (x, y) changes from (2, -1) to (2.01, -0.98). (a) Compute Az. Az…

A: We have to find   dz and delta z and compare the the values.

Q: Let X1 and X2 have the joint PMF f(x1,x2) = x1x2/36 for x1 = 1,2,3 and x2 = 1,2,3. Find the PMF of…

A: Let X1 and X2 have the joint PMF f(x1,x2) = x1x2/36 for x1 = 1,2,3 and x2 = 1,2,3

Q: Suppose that y1 (t) and y2 (t) are fundamental solutions of the equation L(y) = 0 and let y3 (t) be…

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Q: For the equation, xt+1=rxt(1-xt) for t=0,1,2,... Find the two fixed points. For which values are…

A: To find: The two fixed points, which values are the locally stable. Given: The equation is…

Q: Verify that the function y = c1e (-k+2t)x + c2e (-k-2t)x is a solution to y " + 2ky'+ (k 2 + 4)y =…

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Q: Solve for Y(s) and Y(t)

A: Y(s)=s4−10s3+61s2−360s+9006s3−55s2+217s−1986​ (PLEASE SEE DETAILED INFORMATION ON THE EXPLANATION…

Q: Determine 4sin(x); the value of the arbitrary constants y(x) = C₁e* + c₂e¯* + y(0) = 1, y'(0) = -1…

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Q: Write the equation „dr te +x dt dr in the form of +p(t)x=q(t). Then identify p(t) and q(t). dt…

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Q: Find the solution using homogenous function substitution of the following DE Show that 2xyy' == x² +…

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Q: Eliminate the Arbitrary Constant: y = c,x² + c2e¬* а. 2(х + 1)у' — (x? — 2)у" — х(х + 2)у %3D0 b.…

A: topic - differential equations

Q: 3z2+x 30. If z – xz – y = 0, prove that- =- ax dy (3z²–x)³*

A: Let's find.

Q: Use Euler method to solve ODE; y' = 1 + x2 ; y(1)=-2 ; h=0.10 ; x(0)=2 to determine y (2.10),…

A: solution:           given that y1 = 1+n2 with y(1) = -2 and h = 0.10 , we haveto determine…

Q: y= (2x)(3x+1), find y' none of these answers O 6x+2 O 12x+2 O 12x+3

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Q: The values of C₂ and C₂ so that y(x) = C₁x + ₂( satisfies 3x the two conditions y(1) = 1 and y'(1) =…

A: Given equation is y(x) = C1x + C2-13x2