d²y dy +2 + 5y = 5t2 dt? dt

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

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

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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

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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…

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

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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

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

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

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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: Find the asymptotes of (x – y + 2)(2x – 3y + 4)(4x – 5y + 6) + 5x – 6y + 7 = 0. %3D

A: Given equation, x-y+22x-3y+44x-5y+6+5x-6y+7=0 Find the asymptotes of this equation.

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…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.