(ylny − e¯xy)dx + ( + xlny) dy - = 0

Q: Perform the following equation using PEMDAS shown in the image. Write your answer together with its…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: (√x² + y² − 2) dx + (²√x² + y² − 1) dy = 0

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 3. y = C₁ + C₂ e-4x

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Q: 7. Let D = acting on infinitely differentiable functions, i.e., for a function f(x) * be the…

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Q: 1 Find the general solution x'y" + xy' – y= 1+x

A: To find particular solution we use the method of variation of parameters

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A: Differential equation

Q: m = -2+3i, -2 - 3i y' +6y = 24 y"- 36y = e*

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Q: 1 2 1. X 0 -2 1 X || 3

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Q: dy dx Vx² – 16 х d explicit particular solution of the initial value problem 2y- У(5) %3D2

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Q: Solve the following differential equation d²y dy 2 + 5y = 0 - dx? dx subject to the following…

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Q: (2 + tan2x)(1+е"У)dx — е У tan x dy %3D 0 = 0 %3D

A: Given differential equation is 2+tan2x1+e-ydx - e-ytan x dy = 0,   yπ2=0

Q: ow can i solve this exercise? i started learning about differential equations but im not sure how to…

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Q: dy' dx (6.) (i + cos x ) = X = 0 y = 1 sinx (sinx tsinxcosx -y) Answer: C=1/12/2

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Q: FIND THE GREATEST SOLUTION df dx tr SIA X to THE DIFFERENTIAL EQUATION

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Q: ly- cos? x) dx+ cos xdy = 0

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Q: dx = x- y + 1 dt dy = y - x + 2 dt

A: Given: dxdt=x-y+1                       1dydt=y-x+2                       2 The above system of…

Q: - ydx + (x ++xy )dy= 0

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Q: +z-y=3e' %3D dt dr dy + 2r+2y= e' dt dt

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Q: 1. (у — 2)dx — (х — у — 1)dy %3D 0 |

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Q: (D² +D-1)² y =0 ,when x = y = 0 , y' = y' = 1 , y" = -1

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Q: 1. A certain radioactive substance has a half-life of 38 hr. Find how long it takes for 90% of the…

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Q: y'-5y= x'e* – xe* ito

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Q: 2) (3x²y – sin y)dx + x(x² – cos y)dy = 0 |

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