1) Solve X y't y

Q: 1 (D² + 2D + 1)y = (ex=1)²

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Q: x' + 2x + y =sin (t) y' – 4x – 2y = cos(t) x(0) = 0, y(0) = 1.

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Q: dy dx 2₁ y x = x + 2√/ X X

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Q: Solve the initial value problem. dy y = 5x ex, dx X The solution is y(x) = y(1)=5e-3

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Q: 3/xyy' = 5

A: We have to solve the differential equation  3xyy' = 5.

Q: (x+3y - 4)dx + (2x + 6y – 3)dy = 0 O 3x + 6y + 5ln (x + 3y + 4) = C O 3x - 6y + 5ln (x 3y – 4) = C O…

A: Solve the following differential equation

Q: (2xy + 3y³)dx + (x² + 9xy²)dy = 0

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Q: 5. Obtain the Differential Equation from the family of vertical parabolas whose vertex is at (h,k).

A: Formation of the differential equation

Q: 3. my²dx + m?ydy = 0

A: The simplification of the given equation helps to find the solution of the equation. Simplify the…

Q: Differentiate P(x) = * p(t) dt with respect to a using the Fundamental Theorem of Calculus ΤΟ (To…

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Q: Solve the homogenious differential equation Cy²+4y+4y=0; ylo)=1, y'(0) = 3 2 2 ⑤[ +² D² + 5 + D…

A: The homogeneous  differential equation is:The aim is to solve the homogeneous differential equation.

Q: 1. xy +y = xy

A: Given: xy'+y=xy3 ....i Rewrite the equation: y'+yx=y3 The given differential equation is of the form…

Q: y = Cje² + C2xe* + C3x²e* %D O y" + 3y" + 3y' + y = 0 y" – 3y" + 3y' + y = 0 %3D + 3y" + 3y' – y = 0…

A: Given data is: y=C1ex+C2xex+C3x2ex

Q: 3. y' = 2xy²,y(2) = −1 d

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Q: please solve using Differential Equation. Thank you

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Q: 2y'ly"+2)=xy's

A: We are given a nonlinear first-order ordinary differential equation. And we have to find its…

Q: 2 1 2. Solve the linear system i = Ax, where A 1

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Q: aur + 2xyury + y*uyy = 0

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Q: dy + ydx = 2xy²e*dx

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Q: -x+Vx + y dy The Differential Equation dx describes the shape of a plane y curve C that will reflect…

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Q: 4. Obtain the Differential Equation from the family of curves of the form y = xC

A: To form a differential equation from given family of curves. Differentiate given family of curves…

Q: Consider the vector space V = P₂ (R). That is, the space of all polynomials with degree less than or…

A: Given that  B =  1+x , 1-x , 3+x2   and   C =  1 , x,  x2  basis sets of the vector space V = P2R…

Q: Solve the following equation using method of undetermined coefficients. y() + y"= 3x² +4sin x -2 cos…

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