Advanced Math Archive: Questions from April 08, 2022
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Problem 11.1. Solve the following first-order linear differential equations. 1. y' + y - x2 = 0. 2. y' + y cos x - sin x cos x = 0. 3. y' + 2y - 3e4x = 0.1 answer -
Use the Laplace transform to solve the initial value problems: 1. y" + 4y' + 5y = e-t (cos t + 3 sin t), y(0) = 0, = 1. y" + 4y' + 5y = e-t (cos t + 3 sin t), y(0) = 0, 2. y" + 2y' + 2y = 2t, y (0)1 answer -
please answer 23 and 24
In Problems 1-14 find the general solution of the given second-order differential equation. 20. di di - 4x = 0 . + 1. 4y" + y = 0 3. y" - y - y = 0 5. y" + 8y' + 16y = 0 7. 12y" - 5y' - 2y = 0 9. y" +1 answer -
1 answer
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1 answer
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please answer 1,3,5,12,14
In Problems 1-14 the indicated function y(x) is a solution of the given differential equation. Use reduction of order to the find the general solution. 1. y" - 4y + 4y = 0; yı = e2x 2. y” + 2y + y1 answer -
1 answer
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#36 and 38 please 🙏
Solve the initial value problems in Problems 31 through 40. = - = 31. y" + 4y = 2x; y(0) = 1, y'(0) = 2 32. y" + 3y' + 2y = e'; y(0) = 0, y'(0) = 3 33. y" +9y = sin 2x; y(0) = 1, y'(O) = 0 34. y" + y1 answer -
1d, 1e, 1g, and 1h please
- 1. Use the Laplace transform to find the solution of the IVP. a) y' + 4y = 3H(t-1), y(0) = 1 b) 2 – 3 =1– Hột – 4), (0) = -1 c) y' + y = 28(t -3), y(0) = -1 d) y' - 4y = 2H(t - 2) - (t-1), y1 answer -
46. In Problems 37-40 solve the given boundary-value problem. 37. y" - 10y' + 25y = 0, y(0) = 1, y(t) = 0 38. y" + 4y = 0, y = 0, y) = 0 39. y" + y = 0, y'(0) = 0, y'( 40. y" - 2y + 2y = 0, y(0) = 1,1 answer -
1 answer
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isomers
Dibujo los estructura del (de lon) productos que podrían preparano a partir de cada uno de los siguientes alcoholes, por el tratamiento de cada alcohol con a) Na metálico, b) clorocromato de piridin0 answers -
In Problems 1-14 find the general solution of the given second-order differential equation. 1. 4y" + y = 0 2. y" - 36y = 0 3. y" - y - y = 0 4. y" - 3y + 2y = 0 5. y" + 8y' + 16 = 0 6. y" - 10y' + 25y1 answer -
number 5 please
In Exercises 1–59 find a particular solution. -3х -- 3. 1. y'" – 6y" + 11y' – 6y =-e-*(4 + 76x – 24x2) 2. y'' – 2y" – 5y' + 6y = e-3x (32 – 23x + 6x2) 4y'"' + 8y" – y' – 2y = -e*(41 answer -
Explain whether the following first-order differential equation can be solved using a substitution, and if so, solve it:
Situación: Explique si la siguiente ecuación diferencial de primer orden se puede resolver usando una sustitución y si es posible resuelvala: dy dx 3x + 2y 3x + 2y – 11 answer -
1 answer
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Given f(x) = -5x +4 and g(x) = 6x + 2, find (g of)(x). O A. - 30x + 26 OB. 30x + 26 C. - 30x - 22 - D. – 30x + 141 answer -
Starting from the one-dimensional heat equation, obtain the result with the following boundary conditions:
Partiendo de la ecuación de calor unidimensional, obtener el resultado con las siguientes condiciones de frontera c2 ou ou ot or2 u(0,t) = 21 3 у u(L, t) = en == u(2,0) cos3 (22) sin(31x) ln(x - 2)1 answer -
1 answer
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Solve the IVP y" + 4y = 48 ( - ) - 88 (t - ), y(0) = 0, 1 (0) = 4 O sin(2t) - sin(2t) (- :) - 4 sin(26)u ( - ) 2 sin(20) - 2 sin(2t)u (t - 1) - 4 sin(2t)u (t - ) O2 sin(2t) - 2 sin(2t)u(t - ) + 4 sin(1 answer -
Let S= ..... where a=... and ... a) Is S a convex set? b)Prove your answer in a)
Sea S = {a e Rk : p(0) = 1, \p(t)| < 1 parat e [B,p] }, donde a = (a1 , 22 , ..., = : a = ak)? 2 y • aktk-1 p(t) = a1 + azt + azt? + ... + (a) ¿Es S un conjunto convexo?. (b) Argumente (demuestre)1 answer -
Supose f is convex, .... with ... LEt x_1,x_2 in Dom F a)Show that the inequality ... always hold.
= Suponga que f es convexa, 11 > 0 y 12 < 0 con 11 + 12 = 1. Sean x1, x2 € Dom f. (a) Demuestre que la desigualdad f(1121 + 1222) > 11f (x1) + 12 f (x2) siempre se cumple.1 answer -
: Find the domain of the function f(x, y) = ln(2x² + 3y + 1). The set of all ordered pairs (x, y) for which: 1 + 2x? © y> 1+2+ (D y s = 1+2? (E) y < 1 +222 (F) y 1 (A) y 2 - 1+2+? (B) ya (G) ys- y (1 answer -
Question 5 Find the solution. (404 -4D3 - 3D2 - 2D + 1) = 0. D y = (0,+c,)e+*+(cz+c_r)e-1/2 B y=ce+ce-*+(cz+cpp)e/ - (+4)e*+,+One 0 y = (c; +ext)e="/+(c +c_t)e*1 answer