3r dθ+4θ dr=r2θ3 dr (SOLVE USING NON-EXACT METHOD OR INTEGRABLE COMBINATION)

Q: Solve using Higher-Order LDE using the indicated method Operator 1/f(D)

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Q: Solve the following Bernoulli Equations. (show complete solutions) a.) (3x - 2y + 1)dx + (3x - 2y +…

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Q: Solve : t -4t y"+2y - Sydt e s(t-3) yco) = 0 y'co) = 0 %3D

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Q: (x-3y+5)dx+(2x+5y+4)dy=0 solve using coefficient method

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Q: Find the general solution of (D²-7DD' + 12D'2)Z = sin(x - 2y) + ex-2y

A: This question is from linear partial differential equation.

Q: $] A) Solve the IVP: 2) [30 dy (2x − 4). - 2 ln 5x + 2y = 0, y(3) = 3. dx B) Give the largest…

A: Given is the initial value problem as: (2x-4)dydx-2ln5x+2y=0,y(3)=3 We need to solve the given…

Q: Q3 By using the method of undetermined coefficients, obtain the general solution for y" – 2y' – 3y =…

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Q: Solve using (a) analytical method, (b) Euler's Method, dy=x²y - 1.1y

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Q: 13. Solve the DE t°y" – 3ty + 4y = 0,t > 0

A: Given differential equation is  t2y''-3ty'+4y=0

Q: Use any appropriate method to find the general solution of each of the following equations. dy - y²…

A: Given differential equation is, x2dydx-y2=yx+x2

Q: dy = -8xy² dx 3. Solve + 4x(4x+1) y-(8.x² +4x² -1) by knowing u =x is a solution.

A: Given: dydx=-8xy2+4x4x+1y-8x3+4x2-1

Q: Find the general solution of the D.E (D^2+4)y=sin3x

A: We have to solve the problem

Q: Obtain the general solution: 1. (D² + 25)y = -50 sin 5x

A: First we will find the complementary solution corresponding to the homogeneous part of the…

Q: Find the General solution Use method of undetermined coefficients. 1. (D² l)y=ex (2sinx + 4cosx).…

A: To Find: the general solution using the method of undetermined coefficients   1. D2-1y=e-x2 sin(x)+4…

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: 13. Solve the DE t'y" – 3ty' + 4y = 0, t > 0

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Q: 6. Solve the D.E. 2y" + 18y = tan(3x). %3D

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Q: 3x²ydx – (x³ + 2y*)dy= 0

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Q: Q.No.3: a) Solve Cauchy-Euler equation d'y 3x3 dx3 d²y dx2 dy + 9x? + 6х— — бу %3 1+x3 dx

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Q: Solve for z. If there are no solutions type DNE: 1 -4%3= I- 4 4z - 16

A: x4x-16-4=1x-4

Q: dx + (х-1) {In(2x – 2) +dy = 0 2. Test for exactness and find the complete solution of

A:

Q: $] A) Solve the IVP: 2) [23 (2x - 4). - 2 ln 5x + 2y = 0, y(3) = 3. dy dx B) Give the largest…

A: Concept: Initial value problem (IVP): Initial value problem (IVP) or Cauchy problem is the term used…

Q: (2x2y+3y3)dx - (x3+2xy2)dy = C Solve for Particular Solution when x = 1, y = 1

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Q: Determine the appropriate form for a particular solution of the fifth-order equation(D - 2)3 (D2 +…

A: Given differential equation is D−23D2+92y=x2e2x+xsin3x......1. We have to determine the appropriate…

Q: Q2: find the general solution: (D* - DD')z = (x² – 2y)e" + sin (2x – y) •2

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Q: Find the general solution of a given non exact DE y(8x-9y)dx+2x(x-3y)dy=D0. (Note: Express your…

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Q: y" – 2y' – 3y = 5 sin 2t (Solve it using undetermined coefficient method)

A: Given the differential equationy"−2y'−3y=5sin(2t)       ......(1)

Q: Find the General Solution of (D² + 5DD' + 6D²)Z = 10 cos(x – y)

A: Given partial differential equation is D2+5DD'+6D'2Z=10cosx−y. We have to find the general solution…

Q: 2x Find the general solution of y" – 4y' + 5y sin (2)'

A: The given differential equation is  y" - 4y' + 5y = e2xsinx

Q: Q.2 Solve the following differential equati (4x² + y²) (a) y' =

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Q: dy 3. Solve dx = -8xy² +4x(4x+1)y-(8x' +4x² -1) by knowing u = x is a solution.

A: Given differential equation is dydx=-8xy2+4x4x+1y-8x3+4x2-1             …(1) y=x is a solution of…

Q: Q2\A: By using partial method solve 2x² cos x dx

A: Given :∫2x3cosxdx

Q: 2 cos(2x) = -V3 a)

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Q: Solve the general solution y4 + 2y" + y = x² sin x

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Q: 4. Solve the given nonhomogeneous( or undetermined coefficient( O.D.E by variation of parameters (2)…

A: We have the given question,  This is a Euler-Cauchy Differential Equation of the form ax2y''(x) +…

Q: x2 dy dx2 d²y dy + 2y = 5x° cos(x) 2x Jx - dr solve the equation by undetermined coefficients method

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Q: d²N Solve t di? dN - 2t- dt + 2N = t In t

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Q: 2. Find the general solution of y' = eY(4x – 2). %3D |

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Q: Obtain the general solution using the method of undetermined coefficients.(D^2 + D)y = − cos x

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Q: Find the family of solutions of the equation (x2y5 + y3)dx + (x3y4 + x)dy = 0

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Q: Obtain the general solution: 1. (D² +25)y = -50 sin 5x

A: Using method of linear differential equations with constant coefficient.

Q: xydx - (x^2+3y^2)dy =0 Solve for general solution .(show complete solution)

A: Given, xy dx - (x2+3y2) dy =0

Q: Use any method to solve the particular solution (D² + 9)y = 81x² + 14 cos 4x ; when x = 0 y = 0 y' =…

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Q: (b) Solve y -4y = (r – 3) sin 2x, by the method of undetermined coefficients.

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Q: 2. Solve the exact DE and give the general solution. a. (4y-3x)y'-3y 0

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Q: Solve e (3x²y – x²)dx+ e*dy = 0

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Q: 16) Use the method of Variation of Parameters to solve 3y" – 6y' + 6y = e* sec x.

A: To find the solution of the below differential equation using the variation of parameters. 3y'' −6y'…

Q: Find the general solution of D² + 16D)y = cos4x

A: We have to find general solution of the differential equation: D2+16Dy=cos4x Auxiliary equation…

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.