4. The particular solution (x = 1, y = 0) of the differential equation %3D (2) () y - y sin dx +xsin 2 dy =0 is given by X +xcos A+Bcos 2x Find A and B.

Q: 4. Find the particular solution of the differential equation (10x+6xsiny)dx + Vx² +1(1+6ysiny…

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Q: 4. The particular solution (x = 1, y = 0) of the differential equation y X+xcos -ysin de y dy = 0 dx…

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Q: The solution of the non-exact differential equation y dx + (3 + 3x – y)dy = 0 is: O (y^3)…

A: This question can be solved using the concept of linear differential equation.

Q: 1. Consider the problem y' = 1 – 2xy, y (0) = 0. (a) Since the differential equation is linear, an…

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Q: (b) Without solving. What is the form of a particular solution of the given differential equation y"…

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Q: 3. In the differential equation (2x+ y)dx- 3(2x+ y+4)dy=0, we let the substitution dy =,

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: 5 Find the general solution of the differential equation: (1+x³ ) dy – x² y dx = 0 %3D Then find the…

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Q: 1. Find the general solution of the differential equation (1+ 9x²) cos y dy – 3(1+ sin y) dr = 0.

A: we have to solve this by separation of variable

Q: 4. The differential equation x(3.xy-4y' +6)dx+(x' - 6x²y² -1)dy = 0 is exact because ƏM ƏN Əx

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Q: (4) the values of the constants m and n for which y differential equation = mx +n is the solution of…

A: The given differential equation is d2ydx2+6dydx+10y=10x. The given solution of the DE is y=mx+n.…

Q: 5. In the differential equation 2.xydx+(y² – x dy=0, what is 1 (OM ON M dy

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Q: 1. Find particular solution of the following differential equation: dy 15- + 2r-3 dr - 3x-2 =0…

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Q: 2.2 Find the solution of the differential equation d'x dx + + 3z + 8x dt dz %3D dt? dt

A: Given: d2xdt2+dxdt+8x=dzdt+3z

Q: 4. Find the particular solution of the differential equation (10x + 6x siny)dx + Vx?…

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Q: The solution of the non-exact differential equation (x³ev +*) dy+ (1+ 2x²e³)dx = 0 is: x^2…

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Q: dy - 4sin( 2x) and y=2 when *=. What is the particular solution to the given differential equation?…

A: Topic = Differential equation

Q: 4. The particular solution (x = 1, y = 0) of the differential equation X+x cos -y sin dx + x sin dy…

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Q: 7. In the differential equation 4(3x+ y-2)dx-(3x+y)dy=0, we let the substitution dw =- (Note: We use…

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Q: If we use the method of variation of parameters, the particular solution of the following…

A: Particular solution by variation parameter method

Q: 6. Find the particular solution to the differential equation: (y +2)y"=3x*y+4y, given: y(0) = 1…

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Q: 27. The particular solution of the differential equation x^2 dx - (y+1) dy = 0 if at x=1, y=0 is -…

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Q: 19. The particular solution of the differential equation x^2 dx - (y+1) dy = 0 if y(0)=1 is - O 3y^2…

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

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Q: 5. In the differential equation (xy +1)dr+x(x+4y-2)dy = 0, the integrating factor is

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Q: 17. What is the general solution of the differential equation (y² + 9)dx + (3x – 2xry)dy = 0? 2y A)…

A: We have to find the general solution of the differential equation y2+9dx+(3x-2xy)dy=0.

Q: 1) If y = A• cos(cx) + B sin(cx) is the general solution of the differential equation y" +c?=0 for…

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Q: If we use the method of undetermined coefficients, the particular solution of the following…

A: The correct answer is option A. The given equation is  y5+y3=x+cosx The general form of…

Q: What is the general solution to the differential equation dx 8e4x 2 cos(2y) A 2 sin(2y) – 8e4r = C…

A: topic - differential equations

Q: The following initial value problem is defined with an exact differential equation. If the solution…

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Q: 4. The particular solution (x = 1, y = 0) of the differential equation y () y x+xcos |-ysin dx +…

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Q: 4) Match the graph of the particular solution curve to the differential equation. (а) у" — Зу' — 4у…

A: First we calculate the general solution then match with given graphs.

Q: 5. In the differential equation (xy +1)kdx+ x(x+4y– 2)dy =0, the integrating factor is

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Q: 1. The differential equation x(3.xy – 4y' +6kdx+(x' – 6x²y² - 1\dy = 0 is exact because ƏM ƏN dy

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Q: 7. In the differential equation 4(3x+ y-2)dx-(3x+ y)dy=0, we let the substitution dw =- (Note: We…

A: Given differential equation is 4(3x + y - 2)dx - (3x + y)dy = 0

Q: 1 2. Show that y(x)= - is a solution of differential equation V3-2V1+x2 dy yx dx V1 + x2 and…

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Q: 1. Find the general solution of the given differential equation using MUC: y(4) – 4y(3) – 21y(2) +…

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Q: 7. The general solution of the differential equation x^2 dx - (y+1) dy = 0 is O zy^2 + 3y - 6x^3 = C…

A: Topic:- application of integration  Note:- as per our guideline if more than one question uploaded…

Q: 4. Consider the differential equation y" + 5ry + 4y = 0 Inz One solution is y= Use reduction of…

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Q: 1. FIND THE GENERAL SOLUTION OF THE FOLLOWING DIFFERENTIAL EQUATIONS: dy 1. dx dy = xy + 3x-3x' dx

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Q: 5. The differential equation (3r*e" - 2xktx+(r°e' -sin y}dy = 0 is exact because ƏN ƏM ôx

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Q: 4. The particular solution (x = 1, y = 0) of the differential equation %3D X+xcos dx + xsin y ! dy =…

A: The solution is given as

Q: 4. Find the general solution to the differential equation y" + 4y = cos 2x (where y' = ) dx

A: The general solution of a higher-order linear non-homogeneous differential equation is the sum of…

Q: 4. If y, (1) = a is a solution of dy dr Find the second linear independent solution and the general…

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Q: 4. The particular solution (x = 1, y = 0) of the differential equation X+xcos y -y sin y dx +x sin…

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Q: The particular solution (x = 1, y = 0) of the differential equation X+x cos y y sin y dx + x sin y…

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Q: 15. The general solution of the differential equation xy^2 dy - dx = 0 is (3 Points) all of these 3…

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Q: 1. Find the general solution of the given differential equation using MUC: y() – 4y(3) – 21y(2) +…

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Q: 19. (D³ – D)y = x.

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Q: If we use the method of undetermined coefficients, the particular solution of the following…

A: Second option is correct answer . Thankyou!