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Question 1 3 pts The solution of the Initial-Value Problem (IVP) S (x + y)dx –...
Зрт Question 1 f (x + y)da - ady=0 The solution of the Initial-Value Problem (IVP) 1 y(1) = 0 is given by Oy= (x + y) In a Oy = x In a Oy= « ln(x + y) 3 = teº-1 None of them n Question 2 3 pts The general solution of the first order non-homogeneous linear differential equation with variable dy coefficients (a +1) + xy = e > -1 equals da 3 Oy= e-* [C(x2 -...
Question 2 3 pts The general solution of the first order non-homogeneous linear differential dy equation with variable coefficients (x + 1) + xy = e-, x>-1 dx equals y=e-* (C(x + 1) - 1], where C is an arbitrary constant. Oy=e" (C(x - 1) + 1], where is an arbitrary constant. Oy=e" (C(x2 – 1) + 1], where C is an arbitrary constant. None of them O y=e" (C(x2 – 1) +1], where C is an arbitrary constant.
Question 1 3 pts The solution of the Initial-Value Problem (IVP) Į (x + y)dx – xdy = 0 1 y(1) = 0 is given by Oy= (x + y) In x None of them Oy= xel-1-1 O y = x ln(x + y) Oy= x In x
The general solution of the first order non-homogeneous linear differential dy equation with variable coefficients (x + 1) + xy=e, I > -1 equals dx Oy=e-* [C(x2 - 1) + 1], where is an arbitrary constant. None of them Oy=e* [C(x2 – 1) +1], where is an arbitrary constant. yre *(C(x + 1) - 1], where is an arbitrary constant. Oy=e" (C(x - 1) + 1], where is an arbitrary constant.
The solution of the Initial-Value Problem (IVP) (x + y)dx - xdy = 0 ((1) = 0 is given by y = fer-1 - 1 0 None of them Oy= x ln(x + y) y=x Inc Oy= (x + y) Inc
Question 7 3 pts The solution of the Initial-Value Problem (IVP) x? yll – 2y = 4(x - 2) y(1) = 4 yl(1) = -1 is 1 y = + x3 - 2x + 4 22 None of them 4 y = + x2 23 + 1 2 1 O Y + x2 – 2x + 4 2 O y = *+2-- + x2 - x + 3 23
Question 7 3 pts The solution of the Initial-Value Problem (IVP) zy! - 2y = 4(x - 2) y(1) = 4 y (1) = -1 is 1 23 +22 -3 +3 +2.3 -2.0.4 1 Y L 22 - 2.0 + 4 2 None of them 0 4 2.- - 2 + 1 y = 2 Question 8 3 pts The power series solution of the Initial-Value Problem (IVP) (22 +1)yll + xy + 2xy = 0 y(0) = 2 is...
The general solution of the first order non homogeneous linear differential equation with variable dy coefficients (x+1)+zy=e" => -1 equals None of them Oy =é (C(x - 1) + 1), where is an arbitrary constant. Oy=é (C(ZP – 1) + 1). where is an arbitrary constant. Oy=e*10*? - 1) + 1]. where is an arbitrary constart Oy=-*|C(2+1) – 1), where is an arbitrary constant
Find a solution of the IVP dy/dx=xy^3(1+x^2)^-1/2, y(0)=1, and give the interval where the solution is defined.
The solution of the Initial-Value Problem (IVP) ((2 + y)dz - edy=0 (1) = 0 is given by Oy=ze?-1-1 O = em ? None of them Oy= (x + y) lns Oy= 2ln(0+ y)