make use od auxiliary questions to solve (y²+yz+z²)dx + (z²+zx+x²)dy+(x²+xy+y²)dz=0

Q: nd the general Solution of the tfferential equation. (x+2y-1)dx+(3x (3x+by)dy = C

A: The differential equation is given as , x+2y-1dx+3x+6ydy=0. Simplify the differential equation,…

Q: 2. f(2y+3)y+2 dy

A: Since we only answer 1 question. Please submit a new question specifying the one you’d like answered

Q: Check for homogeneity and obtain the general solution. (Let 4C=C) (x² + y?)dx + xy dy = 0

A: The given equation is; (x2+y2)dx + xy dy =0

Q: y=A + Cx is the general solution of the exact DEQ: y - xy' = 82. Determine A.

A: A differential equation is an equation in x,y and derivatives of y. A first order differential…

Q: d²y - y = у 3 10sin?x %3| dx2

A:

Q: Find the general solution of (D4+ 50D²+625) y=0_ A y=c,cos5x +c,sin5x ® y=c,e*+c,x* +cze-5«.…

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Q: F(x) = S 43x dx u = 3x; du = 3dx 3 F(x) = S 43x dx 3 1 1 C43ra

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Q: 4. Find an implicit solution using the substitution u= or y3ux dy dx x+xy %3D

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Q: what is the annihilator for y=x e*cos 2x A D²-2D+5 B (D²-2D+5)² © D?+5 O (D²+5)²

A: We are asked to find the annihilator of the function.

Q: The special integrating factor of y'dx+(3xy + y² -1dy = 0 is: a. e3y b. Зу С. У d. y-3

A: Solution

Q: solve the DE y'' - 5y' + 6y = 32xe2x, y(0) = 1, y'(0) = 0

A: *Concept:- the give differential equation is Linear differential equation of higher order with…

Q: Use first approximate Picard's method to solve = 2x +3y. y(0)= 2. dx .a None of these .b +6x+2 .c +…

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Q: В. NON-HOMOGENEOUS HIGHER ORDERED LDE 1. (D3 + 5D² + 3D - 9)y = 64x²e-3x 2. (D³ + 13D - 34)y = 25x2…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: What is the annihilator for y=x e*cos 2x ? (D²+5)2 ® D² +5 © (D²-2D+5)2 D D2-2D+5

A: See the solution.

Q: 2 show that V(x, y) = x 'f (2x+y) is the general Solution of : Xav dx 2x du ду = V

A: We can show given function is a solution of the given equation .

Q: (r²+y + y³) dx – x dy=0

A: →∫1a2 + x2dx  = 1atan-1xa→ddxuv = udvdx + vdudx

Q: Using complexification, find the general solution of d²y dt2 dy +2- + 5y = 34 cos 2t. dt

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Q: 1. (3x – 2y + 1) dx + (3x- 2y +3) dy = 0, %3D Ans. 5(x + y+ c) = 2 In | 15x - 10y + 11L

A:

Q: 3. Check for homogeneity and obtain the general solution. (Let 4C=C) (x² + y?)dx + xy dy = 0

A: We will solve the problem

Q: solve the DE:   (2y^3-x^3)dx+3xy^2dy=0 ; y(1)=1 using 3 methods.

A: Let's find.

Q: Find the Particular solution of the ODE d?y dy -6--7y = -9e-2x, dx2 at y(0) = -2 and y(0) = -13 %3D…

A: We have to find the particular solution of the ODE                       d2ydx2-6dydx-7y=-9e-2x at…

Q: The integraing factor of (4xy+3y²–x) dx+x(x+2y) dy= 0 is A x² B c) 2x-2 D 2x-1

A:

Q: S dx secx + 1 Transforming Ⓒ / + A -dz 1+z² 2-2z² (B) 1+z² C 12²+2 dz Ⓒ √ 1+2²2 dz D 1-z² -dz using…

A:

Q: Find the general solution of u(x, y) for : Uxy = x A uxx + u = 0 A xuxy + 2uy 1

A: Consider the given differential equation. xuxy+2uy=1                  ……(a)

Q: (x² + 2xy – 4y²)dx – (x² – 8xy – 4y²)dy = 0 - %3D -

A: Consider (x2+2xy-4y2)dx-(x2-8xy-4y2)dy=0⇒ (x2+2xy-4y2)dx=(x2-8xy-4y2)dy⇒dydx=x2+2xy-4y2x2-8xy-4y2To…

Q: x²dx + y(x-1)dy = 0 %3D

A: We need to find solution of differential equation.

Q: Find the general equation solution to the 2Zx + Zy +Z = o

A:

Q: (b) Consider the IVP, test whether it is exact and solve it. x(x – y)dy = -(3xy – y²)dx y(-1) = 1

A: Given differential equation x(x-y)dy= -(3xy-y2)dx   To test exact or not ,if it is exact then solve…

Q: Use the method of integrating factor to solve the linear ODE y' – 3y = 1-e-2".

A: Given: y'−3y=1−e−2x

Q: Find the general solution of (D4+ 50D2+ 625) y=0 (A y=c,cos5x + c,sin5x +czxcos5x + c „xsin5x B)…

A: Let's find.

Q: (b) Solve the IVP (3xy – y²)dx = (xy – x²)dy y(-2) = 3 - %3D %3D

A:

Q: What is the general solution of (D² – 2D + 5) y = 0 ? - y = Cie + C2e3 %3D y = Cie cos 2x + C2e sin…

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Q: Find the general solution of the DE x(y? + x)dy - y(y?- x²)dx% = 0. %3D (x-y) In x +y In y =cx + y O…

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Q: Solve the following using Integrating Factor by Formulas. a.) 2y(x2 - y + x)dx + (x2 - 2y)dy…

A:

Q: 2. (6x + y²)dx + y(2x – 3y)dy = 0

A: In this question, we need to check whether the given equation is exact or not and then find the…

Q: What is the solution of (xy? – x) dx + (a²y + y) dy = 0 when x = 0 and y = 3 %3D O (22 - 1) (y² – 1)…

A: Exact differential equations.

Q: dy ind the general solution of = y + 2x. dz O a. y = x(Inx + c) O b. y = -x(lnx + c) O c.y = x2(2lnx…

A:

Q: What is the most appropriate substitution equation in order to solve the equation…

A: The given differential equation is -  (x+2y-1)dx+3(x+2y)dy=0 Rewriting the above equation as  -…

Q: The integraing factor of (4xy+3y²-x)dx + x(x+2y)dy= A B Ⓒ 2x-1 с 2x-2 D

A: To find the I.F of differential equation

Q: Use integration by parts to evaluate: xe2x dx DA. 2e2*(x – 2) + C OB, x²ex² + C OC. -[2x – 1] + C 4…

A:

Q: 3- Use Euler Method to find value of Y(1.6) when Y(1) = 0 for %3D (x2 + y2)dx = (x + y)dy, use h =…

A: The solution is given as

Q: 3. Find the complete solution of (x²y+y³ – y)dx + (x³ + xy? + x)dy = 0 Hint: Expand and Simplify

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Q: Determine the General Solution of ye2x dx = ( 4+e2x ) dy %3D

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Q: Prove that (y – æ)(y + 3x)³ = cx° is a solution to 3x2 – 2xy + 3y² )dx = 4xydy.

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Q: dy Obtain the general solution to the equation + 2 = xy² а. ху(-x + C) %3D 1 b. ху(x + C) %3D 1 dx…

A: This question is related to differential equations, we will solve it using given information.

Q: Solve the non-homo . D.E. 1.y" + у %3D Зе2х

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Q: (Think homogeneous) Solve explicitly (y² - xy) dx + x²2dy = 0

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Q: dy Use first approximate Picard's method to solve- dx +3y, y(0)=2. .a +6x+ 2 2 .b None of these .c +…

A:

Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0. Answer:

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.