1. y(x³ – y)dx – x(x³ + y)dy = 0

Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: y(x³e*y – y)dx + x(y + x³e*y)dy = 0

A: given equation yx3exy-ydx+xy+x3exydy=0 simplify yx3exy-y2dx+xy+x4exydy=0            ...i this is of…

Q: y(2x? - xy + 1) dx + (x - y) dy = 0, ANS. y(2x – y) = c exp (-x?).

A: Given differential equation is y(2x2-xy+1)dx+(x-y)dy=0

Q: ye2xdx ye2x. (4 + e2x)dy

A: The given equation is ye2xdx=4+e2xdy The given differential equation can be solved by converting it…

Q: AaBb Replac 1 Normal 1 No Spac... Heading 1 Select Styles Editing 13) S x²e7* dx

A:

Q: Problem 1. (Line Integration) Consider the curve c(t) = (e*, e-t) with 0 <t<1 and the vector field…

A: Given:

Q: x²e-x² dx #2³ J = Ji

A: Gamma function

Q: x³y³dy у2— 4у-21 (x – x4y)dy + (y + x³y²)dx :

A: See the solution and follow the step.

Q: Solve the following higher-order differential equations: 3. x" + x = t cost + sint

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Q: (D² + 1)y= sec³x solve using variation of parameters/

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Q: Ordinary Differential Equations of the First Order.pdf Exercises: 1. y(2x-y+1) dx + x(3x-4y+3) dy =…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Let L be a lower triangular, nxM matrin & A=LL", Assume the eigen vector matrix of A can be written…

A: To find the singular value decomposition (SVD) of matrix A in terms of the eigenvector matrix S and…

Q: .2 x cos?y dx + tan y dy = 0

A: The given differential equation is  x cos2y dx+tan y dy=0 Solving the the given differential…

Q: メ+4 dx x²+4

A: Given:       ∫x+4x2+4dx      =∫xx2+4+4x2+4dx Apply linearity:      =∫xx2+4dx+4∫1x2+4dx

Q: Find the general solution using Methods of Undetermined Coefficient and Variation of Parameters.…

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Q: integrate xarctan(4x)

A: We have to integrate  xarctan(4x)   It is given by ∫xarctan(4x)=∫x atan(4x)

Q: C. Find Sx® In 3x dx using by Part techniques.

A: Here we will use the formula of integral by parts. Assume, f(x) = ln(3x) and g(x) = x^8 Formula will…

Q: (D³ + 3D² - D - 3)y = e4x + 5 ID3 an?

A: