utions SPRING2020-2021-MATH203 / Midterm_Math203 Spring2021 Question 1 2. Consider the linear Differential Equation y'-y 1 y =x. The integrating factor of the equation is Not yet answered Marked out of II. VX 1 IV. 1 V. 1.00 I. II. P Flag question E Select one: O a.ll O b.l OCIV O d. II Oe V

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Q: x = c, e" + cz e- 21 e" O x"- 2x'- 3x 8 e O x" + 2r'+ 3x = 8 e' O x" - 3x'- 2r 8 e O x"- 2x'+ 3x = 8…

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Q: 5. y" + y - sec z tan z

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A: Solution:-

Q: ; v' = v ]n(y + 2).

A: Given differential equationThe equillibrium solution is obtianed when

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Q: -2y time does y increase to 100 or drop to 1? Round your answer to four decimal places.

A: we will find the required.

Q: (ху? +у — х)ӑх + х(ку + 1)dy %3D 0, when x %3D2, y %3D2 (у* + 7ху + 16х?)ах + x*dy %3D 0,…

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Q: Obtain the solution of the following differential equation: 1. (x – 3)dx + 4(x +y– 1)dy = 0 2. (x –…

A: Explanation of the solution is given.......

Q: y = C1+ C2cosx + C3sinx %3D

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A: (r+sinθ-cosθ)dr+r(sinθ+cosθ)dθ=0 lets rearrange and then integrate

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Q: Find the general solution: y" + 9y = 5e-2x %3D

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.