du du 2- +3 = 0 dx dy 3 - U, tuy = U + Uy u Solution of Partial Di Separation of

Q: 1. sin xsin ydx+cos x cos ydy = 0 2. dr = b(cos Odr+rsin Ode) 3. x cos² ydx + tan ydy = 0

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: y" + 2y' + 2y = 0, y(0) = 0, y'(0) = 15, %3D + 25y = 0, y(0) = 4.6, y'(0) = -1.2 %3D %3D

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Q: 25. (y + √√x² + y²) dx − x dy = 0; when x = √√√3, y = 1. ANS. x² = 2y + 1.

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Q: TOPIC:EXACTD.E., LINEARD.E., INTEGRATINGFACTORS FOUND BY INSPECTION Obtain the general solution.…

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Q: (a) Differentiate: (i) 7x2 + 14 (ii) e*(4x² + 3)

A: Since you have posted a multiple question according to guildlines I will solve first question(Q.a)…

Q: y" + 2y' + 2y = 0, y(0) = 0, y'(0) = 15, %3D %3D %3D

A: answer is in next step

Q: The equation (y")^2 + (y')^5 - 7 = 0 is ________. Nonlinear non homogeneous Nonlinear homogeneous…

A: Given differential equation is y''2+y'5-7=0 Homogenous Equation: If an equation has constant term as…

Q: (x+1)y" -(x +2)y' + y=0;

A: The given equation is (x+1)y''-(x+2)y'+y=0.  We can write this equation as…

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Q: x' = 3x - 4y + z+t y' = x-6z +1? z' = 3y- 5z +t3 x' y' y z' + II > N

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Q: Homogeneous Equation' (x+y)y'=x-y

A: The given Homogeneous equation is            (x+y)y'=x-y

Q: y 3. y'= ✓ {yln(y)-x=cy} x + y

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Q: 2(x° + xy* + v)dx + (2x°y³ + 4xy° + 2x°y + x*y +2x)dy = 0: y(2) = 0 3.

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Q: A third-order homogeneous linear equation and three linearly independent solutions are given below.…

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Q: [y + xsin (x/y) ]dy − ysin (x/y) dx = 0

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Q: Using Laplace transforms. Solve y" + 4y′ + 3y = e^t. When, y(0) = 0 and y′(0) = 0. Whole Solution

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Q: y' = y² - 3y + 2

A: According to the guidelines, we have to solve only the first question, rest of the question should…

Q: (e + 1)²e-Ydx + (e* + 1)³e¬*dy = 0

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Q: Ordinary or Partial Linear or Non- Linear Independent Variable Dependent Variable Order Degree y' =…

A: Given: Differential equation Ordinary or partial Linear or non linear Order Degree Independent…

Q: Integration by Parts (IBP) 1. Sx³e*/2dx 7/4 2. SR" x sin 2x dx

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Q: a2u 1 du 1 a?u = 0, ar? r dr (r,0) = 0, u(r,t)= 0, 0 <rsland u(1,0) = 0 pour 0ses %3D

A: Given,                  ∂2u∂r2+1r∂u∂r+1r2∂2u∂θ2=0                             (1)with u(r,0)=0,…

Q: 1. x'dx LE 2. x3 + 2x? dx 3. + 3x? + 1)dx

A: "Since you have asked multiple questions, we'll solve the first three questions for you. If you want…

Q: Elimination of Arbitrary Constants Solve y = C1e^4x + C2e^-5x O y" +y' + 20y =0 O y" - y' + 20y =0 O…

A: topic- differential equation

Q: 1. x(y + 1) dx=(x² + 1)ye dy 2. tan x dx + cot y dy = 0 3. (x + 1) sin y y' + 2x cos y = 0

A: Since you have posted mulipart questions, according to our guidelines we have solved first three…

Q: dy 2. dx = x³(y – x)² +, Y1 = x,x > 0 y У1 — х, х > 0 dy 3. + 2y + y² = 0,yı = -2 - dx

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 6y" – 5y' + y = 0, y(0) = 4, y'(0) = 0

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Q: Differential Equations 3) X'= /0 1- Find the fundamental solution of the system • Find the solution…

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