Question 7 Eliminate the constant: y=c₁e²+c₂e²³ Oy"+y'-6y=0 Oy"+ 5y +6y=0 Oy"-5y¹+6y=0 Oy"-y'-6y=0

Q: Eliminate the constant: 2x 3x =c₂₁e²x + c₁₂e³x Oy"-y'-6y=0 Oy"-5y'+6y=0 Oy"+y'-6y=0 Oy"+ 5y'+6y=0

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Q: Consider the Bernoulli equation y' + -y = 3y°. After applying an appropriate substitut this equation…

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Q: 1. Solve Cauchy-Euler equation. r²y" – ry' + y = 2x

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Q: What is the integrating factor of the equation (2xy*ev + 2xy³ + y)dx + (x²y+ev – x²y² – 3x)dy = 0 A…

A: We have to choose the correct answer from the given option according to the given condition

Q: Eliminate the constant: 3x 3x y=c^+c xe +c xe Oy"-6y'+9y=x y"+ 6y'+9y=0 Oy"-6y'+9y=0 Oy"-4y+3y=0

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Q: b) Determine the characteristic equation for y" + 3y + 2y = 0. c) Find the general solution for y" +…

A: The differential equation is:To Do:Determine the characteristic equation and solution to the given…

Q: . Find the general solution of the first-order equation y? – 2ry dy dr

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Q: Eliminate the constant: y=x+c₁₂e¹+c₁₂e\ 1 Oy"-y=-x Oy"-y'+y=0 Oy"-y'=x Oy"-y=0

A: Given: The given equation y=x+c1ex+c2e-x To find: we need to eliminate the arbitrary constant.

Q: Verify that the implicit equation x^2 − y^2 = C, where C is a constant,represents a solution to the…

A: To verify that the implicit equation x2−y2=C, where C is a constant, is a solution to the ordinary…

Q: (1+x2) y + 8xy' +6y=0

A: We have, This differential equation doesn't have a constant coefficient for the second derivative is…

Q: Find the general solution of y""- 5y"- 6y'=0

A: The given differential equation y'''-5y''-6y'=0

Q: Eliminate the constant: 3x 3x y=c₁e³x. + + c₂2 ve ³x схе 3 Oy" + 6y' +9y=0 Oy"-6y'+9y=0 Oy"-4y+3y=0…

A: It is given that,y=c1e3x+c2xe3xwe need to eliminate the constants c1 and c2

Q: Eliminate the constant: 3r y=c₁₂e²²+c₁₂e² Oy"+y'-6y=0 Oy"+ 5y¹+6y=0 Oy"-5y¹+6y=0 Oy"-y'-6y=0

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Q: d the values of az/ax and öz/ay at the point z - xy + yz + y' - 2 = 0, (1, 1, 1)

A: Given that  z^3-xy+yz+y^3-2=0 To find the partial derivatives at point (1,1,1)

Q: (C) y" + 21y+8x=y" + 5y' + e²*

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Q: 1. Let X be a Hilbert space and let {n n = : ∞ 1,2...} be an orthogonal subset of X. N Show that the…

A: i) Given that,X be a Hilbert space and xn​:n=1,2,3...... a orthogonal subset of X. A complete inner…

Q: Find the general solution of the ODE. - y" - y' - 12y = 2xe-³x — ex

A: Given that the differential equation is                                          To find the general…

Q: tions. Find the General solution of y" - 2y' + 5y = 4tet with Real valued func-

A: We have to find the general solution of the differential equation.

Q: (D² – DD' + D)z= 1 1- Solve

A: Here the given equation is non homogeneous partial differential equation with constant…

Q: ) Verify that y=e-2x is a solution of equation x(y")3+ (y')4 – y = 0

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Q: y"-6y'+9y = t2e3t

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Q: Find the solution of the Euler-Cauchy equation x²y" + 0.6xy' + 16.04y = 0.

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Q: y" + 6y' + 8y = 3e-2# + 2x

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Q: 2 11 3. x*y" – 5xy'+9y= 2x

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Q: 2 calculate J= e dyok 2x

A: Given integral :

Q: 2 b. y" + y' - 2y = %3D

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Q: 1. Describe and solve each first-order equation. 2 2 (a) x²y'=xy²+3y² (b) y'+3y=3t²e-30

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Q: y"-9y' +14y=-4e³x + 6sin 2x

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Q: (3) y" – 25y = 2xe"

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Q: ) Give a particular solution for y" – 2y' + y = 1+x² *

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Q: 2.c) Eliminate the Arbitrary Constants in the equation: * y – x = C1e* + Cze-2* -y" - y + 2y - 2x +…

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Q: y" + 12y' + 36y= 0

A: Given the differential equation is y" + 12y' + 36y = 0. Here the auxiliary equation is m2 + 12m + 36…

Q: Solve y" – 4y' + 6y = 8(t – 3), y(0) = 0, y'(0) = 0. -

A: Use Laplace table.

Q: Eliminate the Arbitrary Constant: y = c,x² + c2e¬* а. 2(х + 1)у' — (x? — 2)у" — х(х + 2)у %3D0 b.…

A: topic - differential equations

Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy4 + 2y)dx + (2y³ + 2x²y +…

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