dy dy -4 =0 dx dx O 2 and 6 O 2 and 4 O 1 and 6 O 1 and 4

Q: Find the particular solution to the differential equation. x?e?y dy = (x3 + 2) dx when x = 2, y = 0

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Q: Sove the differential equation given the condition y(0)=6   dy/dx = (x/y)

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Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the…

Q: The degree and order of the differential equation (出) 1 dy 1+ is = dx dy dx O 2, о16, 1 Ο 14, 1 о 1,…

A: Simplify and then find the order and the degree as shown below.

Q: -y dx =1, y(1)=1 dy b. X.

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Q: The degree of the differential equation dx2 1+2) = 0 is %3D dx. a. 2 b. 1 C 3 9 P

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: dy Find the general solution to the differential equation = t6. dt y = +C

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Q: Determine the order of the differential equation. 3 dy a) +y = sin x dx dy +t+2y= sin(t) dt? b) ?…

A: 1a dydx3+y2=sin x

Q: Solve the differential equation dy 3D V1+ x2 + y? + x?y+ xy- dx

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Q: Solve the differential equation dy + 2y = e+x, y(0)=1 dx

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Q: The degree and order of the differential equation 8 dy 1+ is = 4 dy (密 dx dx

A: According to question given that1+1(dydx)4=(dydx)8We have to calculate the degree and order of the…

Q: Determine the order and degree of the differential equation: 2x dʻy/dx+5x²(dy/dx)³-xy=D0

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Q: (b) Solve the differential equation d'y dy +2y = 2e", +3. dt? dt dy = 3 when t = 0 dt y =1 and %3D

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Q: What is the degree of the differential equation? d²y dy 1 2 %3D `dx' dx2 2 3 4

A: Given differential equation is dydx12+y2=d2ydx2......1. We have to find the degree of the…

Q: I (2x3+ y) dx - x dy = 0 2 y dx - (x + 6 y2) dy =0 3. (x+y) dx + tan (x) dy = 0 4. 6Xy dx + (4y+ 9…

A: "Since you have posted a question with multisubparts, we will solve first three subparts for you. To…

Q: dy %3D 1 + x + and f(0) = 1, find the particular solution to the differential equation. - dx

A: Given,           dydx=1+x+x22 and f(0)=1

Q: Solve the given differential equation by separation of variables. (ey + 1)²e-y dx + (ex + 1)²e¯× dy…

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Q: Solve the differential equations x dy/dx + y = ex, x > 0

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Q: Obtain the general solution for the differential equations: (4) tan ?y dx = sec x dy (5) xy'dx +…

A: It is given that the differential equation is tan2ydx=sec2xdy, Using the method of variable and…

Q: Determine whether y = e = e2= 3e is a solution to the differential equation dy 2y = 0. dz? dr

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Q: (d) Solve the differential equation given that y(0) = 1. (ex + y)dx +(2+x+ye³)dy = 0,

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Q: Find the solution to the differential equation dy/dx =√xy, y(1) = 2

A: topic - differential equations

Q: What is the degree of the differential equation d'y + 5 y de d'y dy = 0 ? dx 6 O 2 O 4

A: Solution:-

Q: Solve the differential equation dy V1+ x2 + y? + x?y+ xy %3D dx

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Q: 4.У(х + у)dx + (х + 2у — 1)dy 3D 0

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Q: verify that the function y=e^-3x is a solution to the differential equation d^2y/dx^2+dy/dx-6y=0?

A: To verify the function y=e-3x is a solution of the differential equations d2ydx2+dydx-6y=0.  That is…

Q: What is the order of the differential equation? d³y dx3 4 + 6y = 3 dx, 1 O 2 4

A: Solution

Q: dy y x+y 4. dx х-1

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Q: Categorize the Differential Equation. (x – y)dx + (3x + y)dy = 0

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Q: Find the solution of the differential equation that satisfies the given initial condition dy =4,…

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Q: Solve the differential equation. dy 3x?y? dx %3D for y + 0

A: Given dydx = 3x2y2

Q: M(x, y)dx = –2x(- 2 1 + y + )dy 2x2)dy

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Q: Find the general solution of the given differential equation. Assume x and y are positive. dy =…

A: the given differential equation is  dy/dx = 18√(xy). dy/dx = 18√(x)√(y). By variable reparation…

Q: 17. у dx — (х + бу?) dy 3D0 (х + бу?) dy %3D 0-

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Q: Determine the general equation of this differential equation. xy³ dx + e*dy = 0

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Q: dy dy is a solution of the differential equation dx? 56y = 0. -8z - Verify that the function y= e dx

A: Given: The differential equation is d2ydx2+dydx-56y=0.

Q: Find the general solution of the differential equation g below: У(х — бу) dx — х (2х — 9у) dy %3D 0

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Q: solve the given differential equation 5. dy/ dx =( x − (e ^(− x)) /(y + e^ y)

A: Solution:-  The given differential equation is  dydx=(x-e-x)(y+ey)

Q: • Solve the differential equation and apply the given conditions. d²y dy -5- 5 dx2 dx : + 6y = 0…

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Q: Find the solution of the differential equation that satisfies the given initial condition below dy…

A: This question is related to differential equations, We will solve it using given information.

Q: dy dy is a solution of the differential equation dx? 56y = 0. dz -8z Verify that the function y = e

A: Given: The differential equation is d2ydx2+dydx-56y=0.

Q: Find the general solution to the differential equation: dy %3D 4ху dx

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Q: dy Find the solution of the differential equation y – x=x+ y• dy dx dx

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Q: Solve the differential equation d?y dy 22 +2y=3e* cos 2x, given that when dx dx2 dy x=0, y=2 and =…

A: Given differential equation is  d2y/dx2-2dy/dx+2y=3excos2x  Initial Condation: y(0)=2 ,y'(0)=3

Q: What is the degree of the differential equation? d?y dy +3 +ay = 0 dx dx2

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Q: = k + 1+ dx dx d®y dx = 3 dx* (d²y) 1+ dx² dy dx3

A: As per guidelines we can solve the first three subparts only. If you need more answers kindly…

Q: The order of the differential equation: dôy V dæ6 dy V 10+ is dx O 2 O 20 O 12 6

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Q: The order of the differential equation: d'y + S ydx = sin x is_ dx4 d°y O 4 O 10 O 9 O 16

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Q: dy + 4y = t cos 2t dt? Solve the differential equation

A: The solution is given as