dy _ x* The implicit solution of the differential equation dx by using variable y %3D separable method is y? x? + C 2 (b) 2 (d) 2 (a) -C 2 (c) 2 2 O a d O b

Q: The solution of the differential equation y' : y+√√x² + y² = c y + 2√y² = x² = cx y+√√y²-x²=c y+…

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Q: (x-2)(dy/dx) – y =(x-2)3 solve homogenous equation by linear equation method

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Q: dx/dt+dy/dt+x=e-t dx/dt+dy/dt-x-y=e2t x(t) general solution function

A: Given equations are                                              dxdt+dydt+x=e-t           ...…

Q: What is the solution to the differential equation 2√√ay- da Oy = ( ² √₂-2) ? 3 Oy=(2²√x - 2) ³ 1 =…

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Q: Solve the differential equation using Reduction of Order (D2 + 2D + 1)y = (e* - 1)-2 a. What is the…

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Q: The differential equation d5y d³y 4x- + 5y=e* – cos2x in D-notation is dx5 dr3

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Q: The differential equation y' = √2x−y +1 +2 has the solution 3

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Q: Find the general solution of the differential equation (D2 – 6D + 8)y = e 2x + sin 5x -

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Q: 2x + 2xy2 y + 2x²y dy dx ||

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Q: Find the solution to y - x+t y' = y if r(0) = 5 and y(0) = 4. %3D

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Q: =C2e(-2x) - 6xel-3x) - 5e (2x) + C₂e(-2x) + 6xe(-3x) + 5e (2x)

A: option A is correct answer

Q: dy Q.2 Solve x/1+ y² + yv1 +x² = 0. dx

A: The expression is x1+y2+y1+x2dydx=0 Multiply both sides by 11+x2·1+y2…

Q: Q1/ Solve the differential equation (use division method) y(x+1)dy = x(y² +1)dx

A: Division Method/Separable Method Re-arrange given differential equation such as all variables of…

Q: Q2: Find a general solution of the differential equation (D² + 6D +13)y= 10e³- 16e using the…

A: Concept: The general solution of the given differential equation is given by  y=C.F+P.I Here C.F is…

Q: dy What is the general solution to the differential equation da A (B) y= 1 (2²+32+C) 372 *-…

A: We have to solve the differential equation dydx=x-13y2We can variable separation method in the below…

Q: (P-rule) 9. y=XN2X+ | %3D rewrite y

A: Given that:y=x2x+1

Q: Verify that y = x² – 1 is a solution of (y')* + y² = -1. %3D

A: Given;            y=x2-1 is a solution of y'4+y2=-1 We compute the first derivative.…

Q: What is the least order of a homogenous differential equation with constant coefficients for which y…

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Q: Solve by homogenous differential equation and the solution in explicit function form y= f(x,y) (8)…

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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.