25y¹V + 15y"" - 5y" − 12y' + 16y = 0

Q: cos(x)y' + sin(x)y = 2cos³(x) sin(x) — 1, y(4) = 3√2, 0 < x < 1/17.

A:

Q: 5. (4xdy + 3ydx) + x³y² (xdy + ydx) = 0 Ans: 6x³y4+x6y6 = c

A:

Q: Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

A: To find the following limits:i.

Q: dy +iy = sin x dx

A: We have to solve given problem:

Q: Exactly one of the following statements is false: Select one: a. Two n by n matrices A and B are…

A: Consider the provided question, We have to find the false statement in the given option. (a)

Q: 7. y - 5y + 7y" - 5y' + 6y = x² + 3x - 5 Ans: y = C₁e³x + C₂e²x + C3 cos x + C₁ sin x + x² + ²x -…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: a. Locate and interpret the 90% confidence interval for mean fasting blood sugar on the printout. b.…

A: The 90% confidence interval for the mean fasting blood sugar from the minitab output is (93.53,…

Q: 3 | æ(x – 2)ºdæ 10 2

A:

Q: 10)

A: Explanation of the answer is as follows

Q: Let a, b and c be real constants. Consider the ODE ay" + by' + cy = 0. Which relationship must be…

A:

Q: Test statistic is M1-M2 T = Se Calculation of the test statistic is, M1-M %3D 40.8-34 0.0028 %3D

A:

Q: 9. y(y² + 1)dx + x(y²-1)dy = 0 Ans: + xy = c

A: We  are given the differential equation to be solved    =&gt;       y(y² + 1)dx + x(y²-1)dy = 0

Q: A pilot is told by ground-control that he will encounter unusual air flow streamlines in his flight…

A:

Q: 2 50 = 50t Rint 204 Rint %3D

A: Solving the problem by finding the Rint.

Q: dy 1. Solve the equation x2. +x y= 1. dx

A:

Q: Y' = 2 (1+2) y' 2

A:

Q: d²y dx2 + 4 + 5y = 2e-2", y(0) = 1, y' (0) = -2 dx

A:

Q: 2x³y' = y(2x² - y²)

A: We have to solve the given ordinary differential equation.

Q: dp = psin q if p(q) = ve when q = 1/3. Solve %D dq

A: We solve this problem using variable separable method. After finding the general solution using…

Q: Verify.

A: We will use tanx= sinx/cosx and secx= 1/cosx We plug them in the left side of the expression.

Q: (3xy + y²) + (x² + xy)y' = 0.

A: Given differential equation: We have to solve the given differential equation.

Q: 5. y + 4y= sin x + 3 cos x Ans: y = C₁+C₂ cos 2x + C3 sin 2x + sin x x-co COS X

A: To solve the given differential equation.y'''+4y'=sin x+3 cos x

Q: 7 0.08 =(30sina) 1 8. 7 (15 cosa, 2 15cosa)

A: Given, The projectile equation  0.08 = 30sinα715cosα-12g715cosα2 We have to find the value of α.

Q: Résolve it

A: Absolutely, I can help you with this astronomy problem about the Doppler effect on a spectral…

Q: Find all values z of the given quantity. (Enter your answers as a comma-separated list.) sin- z = n…

A: To find all the values of z,  z = sin-1(5/13)

Q: Show that (a X b) b = 0 for all vectors a and b in V3.

A: Show that :     (a×b). b =0 for all vector a and b in v3

Q: 2) The double integnal | 3x ekdy, whetzeT is the tniang le of VErtices 6,0),c2,0) ond (eti-2),…

A: The double integral is an integral with respect to two different variables the integral of a…