d'y -14- dy +49 y = 0 dx dx 2.

Q: y" – 2y' + y: [12x – 4]e-Sx %D -

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Q: Solve the differential equation. dy/dx = 5x√ y

A: Given differential equationdydx=5xy⇒dyy=5x dx⇒dyy12=5x dxy-12dy=5x dxIntegrating on both…

Q: Solve the differential equation dy/dx = e2x-y/ex+y

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Q: Solve the differential equation- ydx + x (1+y) dy= 0

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Q: dx3 d²y_dy+y=0 dx² dx

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Q: 3. y?dx + (x² + 3xy + 4y²)dy = 0; when x = 2,y = 1

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Q: Solve the differential equation: dy/dx = 2 + sqrt(y -2x + 3)

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Q: Solve the differential equation. dy/dx  = xe-y

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Q: dy + y = ry dr

A: Given differential equation is xdydx+y=xy3 or xy'+y=xy3  First order Bernoulli Ordinary Differential…

Q: Solve the given differential equation by separation of variables. dy - (y - 8)2 dx = 0 %3D

A: We have to solve the following differential equation using separation of variables.…

Q: dy 6x/16 – y2, – 4 < y < 4 dx

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Q: Solve the differential equation: dy + (2x – 7)y dx 8x9

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Q: (Dª – D³ – 3D² + D + 2)y = 0

A: Explanation of the answer is as follows

Q: - ydx + (x ++ Vxy )dy = 0

A: Given  -ydx+(x+xy)dy=0 To find solution of this Differential Equation:

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: - = y? + xy dx

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Q: Solve the differential equation. 9x2 dy dx V5 + x3 y = + C

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Q: Solve the differential equation. dy dx

A: This is a simple differential equation. Method which is used to solve this kind of differential…

Q: xy' + y = y?

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Q: Solve the differential equation dy dx V1- = 0

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Q: dy Solve the differential equation y -dx

A: For solving this question, We know the basic of integral; and Product Rule in logarithm In this…

Q: Solve the differential equation dy/dx = (1 + y) ex , y 7 -1.

A: Consider the following differential equation: dydx=1+yex11+ydy=exdx Integrate both sides of above…

Q: Solve the differential equation (dy)/(dx) = 80 - 2y, such that y = 70 when x = 0.

A: The given differential equation is dydx=80-2y. Solve the above equation as follows.…

Q: Solve the differential equation p2-7p+12=0,where p=dy/dx

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Q: 2y²e»* dx + 2xyey° dy = 0

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Q: Solve the differential equation dy/dx = x√2y, y &gt; 0

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Q: (D² - 1)y= 2 1+ex

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Q: Tx?+y?)dx + 3xydy

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Q: 5y*y' = x?y' + 2xy

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Q: Solve the differential equation: dy ye*+y dx x2 + 4

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Q: Solve the differential equation 1-x+y dy dx 2+x - 3y

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Q: Solve the differential equation , where y, is known solution dy = 2x + dx y-2y, Y = x.

A: Given differential equation dydx=2x2+1xy−2y2......1 This equation is a Riccati  equation. Compare…

Q: Solve the differential equation 2x dy/dx + y = 2x0.5

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Q: Solve the differential equation. dy/dx = 9x sqrt(y), for y ≠ 0

A: Given : dydx = 9xy, y≠0

Q: solve the differential equation p2-7p+12=0,where p=Dy/dx

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Q: xdx e-x + (Y+) dy уз = 0

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Q: Solve the differential equation dy + y = 4xy³, y(0) = 1 dx

A: We have to solve the given initial value problem dydx+y=4xy3,  y(0)=12 .

Q: Solve the differential equation. dy - xy dx

A: The differential equation dydx=xy

Q: (3x3 + 2xy)dx + 2x?dy = 0

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Q: d'y +2 + y = 3e¯* dx dx 5.

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Q: Solve the differential equation. 4x2 dy dx V9 +x y = + C

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Q: solve the differential equation dy/dx = 4xsec y

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

A: topic - differential equations

Q: Solve the differential equation by variable separable r®y² dæ

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Q: Solve the differential equation: dy + 2xy = y da

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Q: solve the differential equation : y"+k?y=0

A: We will be solving y''+k2y=0. So,

Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) = %D

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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.