Solve the linear differential equation dy - y = 1 – x d.x .A Y = x + cxe" y = –x + ce" .C Y = x + ce" .D Y = cxe"

Q: Solve the differential equation: dy x=+(7x – 7)y = 4x³ dx

A: On dividing the given equation both sides by x we get, Hence the given differential equation is of…

Q: (xy² + x²)dy + xydx = 0 %3D

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Q: Match the differential equation y′ − 2y = 0 with its solution attached.

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Q: solve the differential equation dy * y t (yt-x*) ニ ans : -in ( )

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Q: Match the differential equation y′ − 2xy = 0 with its solution as attached

A: y'-2xy=0dydx-2xy=0dyy=2x dxThis is variable separable form .

Q: Solve the differential equation. dy 3x2y2 dx for y + 0

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Q: What is the particular solution to the differential equation = (x³ – 1)(2 – y) dx with the initial…

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Q: Solve the differential equation: [y³ – y²e* – cos(x – y)]dx + [3xy² – 2ye* + cos(x – y)]dy = 0 ;…

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Q: dy 6x/16 – y2, – 4 < y < 4 dx

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Q: (3x– y)dx– (x– 5y)dy =0

A: Given: A differential equation (3x - y) dx - ( x - 5y)dy =0To Find : The solution of the given…

Q: solve the differential equation  a. dy/dx+9xy=x  x=0 and y=8 b. dy/dx+7x^6y=7x^6 x=0 y=5

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Q: Solve the differential equation: dy/dx + x2y = 3x2 , y(1)=6

A: Calculate the integrating factor and solution.

Q: (2xy + x)dy – [x² + y² + y + 1]dx = 0 When:x = 1; y = 0

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Q: 2x-y? xy? 3- ()dr – ()dy = 0 is exact differential equation. True False o o

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Q: Solve the differential equation for y. 2 dy d²y ey dx. dx² 3%. =

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Q: Find the particular solution to the differential equation. x2e2y dy = (x3 + 3) dx    when x = 3, y…

A: We have to solve

Q: yJzスこナる dy t xJ (A ZXZ+3

A: given differential equation is variable separable differential equation we will first separate the…

Q: (x² + y?)dx – 2x²dy = 0 %3D

A: Given: x2+y2dx-2x2dy=0 So, we can also write as: x2+y2dx=2x2dydydx=x2+y22x2...1 Let, y=vx Now…

Q: The differential equation formed by eliminating arbitrary constants a ,b and c: y = ar³ + bx + cr +…

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Q: Match the differential equation y′ − 2xy = x with its solution as attached.

A: Given: y'-2xy=x for solving this we will use variable separable method we know that y'=dydx

Q: Show that y = e-6t satisfies the differential equation y" – y – 42y = 0.

A: Explanation of the  Proof is given below..

Q: Find the general solution of the differential equation y" - 2y + y = 7et 1+t2 NOTE: Use C₁ and C₂ as…

A: Given the differential equation is y''-2y'+y = 7et1+t2

Q: Solve the differential equation (y /x² + y²) dx - xdy = 0. If y = 1 when x = /3, determine y whe +

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Q: 2. (2xy + x)dy – [x² + y² + y + 1]dx = 0 When: x = 1;y = 0

A: The given differential equation is: 2xy+xdy-x2+y2+y+1dx=0 Solve for the particular solution of a…

Q: b) Solve the differential equation y(1-ysin(x))dx + (2x+3ycos(x))dy=0.

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Q: solve the first order homogenous differential equation (x² + æy) dy = (æ² + y²) dæl

A: The differential equation is given as x2+xydy = x2+y2dx It can be rewritten as dydx = x2+y2x2+xy…

Q: Solve the differential equation. dy = 5x dx Vy for y + 0

A: The solution are next step..

Q: Solve the differential equation: dy + (4x – 7)y = 5x° dx

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Q: Determine an appropriate substitution and then solve the differential equation. xy' = y In(xy) Cx-1…

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Q: Find the general solution of the differential equation y" - 2y + y = 13et 1+ t² NOTE: Use C₁ and C₂…

A: y''-2y'+y=13et1+t2 let f(t)=13et1+t2 Auxiliary equation m2-2m+1=0(m-1)2=0 m=1, 1 hence it has two…

Q: Solve the differential equation     dy/dx = x² + 3 + e2x ;  y = −1 when x = 0

A: Given: dydx=x2+3+e2xy0=-1 To Solve: The given initial value problem. Concept:…

Q: (1+Inx)dx +(1+Iny)dy = 0 when y(-2) =- 1.

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Q: Solve the Differential Equation x² (y² +3) y(x³+1) dy + dx = 0

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Q: Match the differential equation y′ − 2x = 0 with its solution as attached

A: Here given as y'-2x=0Or dydx=2xordy=2xdx

Q: Solve the differential equation dy y(0) = -1. dx 3+1 There is no need to isolate y.

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Q: Solve the differential equation dy/dx = ex-y + ex + e-y + 1

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Q: Solve the differential equation using method of inspection: ( x3y3 + 1 ) dx + x4y2 dy = 0

A: Given that ( x3y3 + 1 ) dx + x4y2 dy = 0

Q: (x* – y*)dx + xy³dy = 0 -

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Q: Solve the differential equation. dy dx 8x(y² + 1) n(4x² + ) X tan

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Q: Solve the differential equation (y¯+ y)dx - (y¯+ 2xy + x) dy = 0. If y = 1 when x = 3, determine x…

A: Topic:- differential equations

Q: Solve the differential equation. dy/dx = 3x2y2 for y ≠ 0

A: This question can be solved by seperating x and y terms and doing integration.

Q: Solve the differential equation. dy = 5 ex-y dx

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Q: Get the differential equation. xy²dy = (y³ – x³)dx (Highlight the result of substitution, result of…

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Q: Solve the differential equation dy dx - =x + x – 3, if y = 0 when x = 2. 3 %3D

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Q: y is related to X through the differential equation: = ax + bx² + cx³ da and y = d when X = 0 where…

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Q: Use appropriate substitution to solve the differential equation dy 2x + y - 2+ dx 1 4x + 2y > y =…

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Q: Evaluate and Solve the linear differential equation:    (dy/dx) = x - y

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Q: Solve the differential equation dy/dx = 6e^(2x- y) when x O when y = 0.

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Q: Solve the differential equation: dy 1 1 1)y – x +1 = 0, y1= ax - - dx

A: The given differential equation is dydx-y2x-21x-1y-x+1=0. Substitute y=ax in the above equation and…

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.