Which one of the following is the Exact differential equation ? 1 (x2 +3xy)dy + (y³ +a²)dx = 0 3 (x2 +3xy)dx + (y + 2)dy = 0 2 (22 + 3xy)dx + (y³ +³)dy= 0 %3D 2 O (x2 +3xy)dy+ (y³ + x*)dx = 0

Q: In which differential equation, the ?function 5e2t - et is the solution برأحد الخيارات y' – 2y =…

A: In order to find the differential equation, we differentiate the given function and try to convert…

Q: The differential equation 3" = 0 has one of the following two parameter families as its general…

A: Given that: y''=0

Q: 1. The differential equation +3 + 2x = 0 has the general solution x(1) = c1e+c2e-2 (by using the…

A:

Q: The solution of the Bernoulli's differential equation y + =y'x is: 1/y=-x+C (1/xy)3-x+C 1/(xy)^2…

A: The given differential equation is; y'+y/x =y2x

Q: State the order of the given ordinary differential equation. + d³ dy 4 - (dx)² + + y = 0 3 Determine…

A:

Q: 5). Write the first-order differential equation in standard form. (Use yp for y'.) −xy' = (8x + 7)y…

A: To find- Write the first-order differential equation in standard form. -xy' = 8x + 7y + xex…

Q: Determine the form of particular solution for the following differential equation (do not solve):…

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Q: Which of the following is the linear differential equation resulting from the solution of the…

A: The given differential equation is first order but not of first degree. We denote dy/dx =p and the…

Q: Which one of the following is a Cauchy-Euler differential equation, x y" - y' -2y = 0 x y" -3 y' -2y…

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Q: State the order of the given ordinary differential equation. (1-x)y" - 5xy' + 2y = cos x Determine…

A:

Q: Which one is the differential equation if its solution is y= acoSx-bsinx O a. y"-y' 0 O b. None of…

A: To find the differential equation whose solution is represented as: y=acosx−bsinx

Q: The differential equation of y = 5bx2 + c after elimination of the arbitrary constant b, c is O y =…

A:

Q: Which of the following is the solution to the differential equation dydx=y2−(xy)2dydx=y2−(xy)2 with…

A: Explanation and solutions is given below....

Q: he particular solution to the differential equation dy/dx= xy+y, given y=e when x=0, is of the form…

A: Given : The differential equation  is dydx=xy+y with y=e when x=0.  the particular solution for the…

Q: Solve (4x+y-1)dx + (x-y-4)dy using differential equation. A. 4(x+1)? + (y-5)² + (x+1)(y-5) B. (x+1)?…

A:

Q: Solve the differential equation y" - 3y +2y cos(e-x) y=Ce2x+ Cze* -e2Kcos(e-x) y= Ce2 + Cze*…

A: We will find out the required solution.

Q: Solve the differential equation. dy e + 3exy = 2, x > 0 dx (A) y=e³x + cex, x > 0 By=ex+e3x, x>0…

A:

Q: What is the general real solution of the differential equation x3) – x(1} - 2x = 0 (the given…

A: The solution of linear homogeneous differential equation is defined by the roots of its…

Q: Determine if the differential equation y'=x4y - 9x5y is separable, and if so, separate it. dy Yes,…

A: Take y common from RHS

Q: A solution for the differential equation xdy = -ydx is a. In x + In y = C O b. y=ln x+C O c. In…

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Q: 9. What is the general solution for the differential equation y"" - 3y' - 2y = 3x? A. y C₁x +…

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Q: From the list below find the only differential equation that has both functions ₁(t) = e²t and y2…

A: Given solutions of differential equation are y1(t) = e2t ,   y2(t) = -2e2t

Q: II. Solve the given linear differential equation showing the details of your work. 1. (D²…

A: The given differential equations are;  1) (D2-3D+4)y=16x-50Cos2x 2)(D2-3D+2)y=Sin(e-x).

Q: Form the differential equation for the function 2xy asin2x-bcos2x O a xy" -2y = -4y Ob.xy" + 2y=…

A: Using the product rule of differentiation it can be written that ddx(xy)=y+xdydx . The derivative of…

Q: 5. Obtain the particular solution for the given differential equation when SHOW YOUR COMPLETE AND…

A: topic- differential equations

Q: Solve the differential equation: (1-x)y'=y^2 * O y Inlc(1-x)|=1 O y^2 In/c(1-x)|+1 O Inlc(1-x)|=y^2…

A: To solve the given differential equation

Q: Solve the first order differential equation. (2y sin x cos x - y + 2y^2 e^xy2)dx = (x - sin^2(x) -…

A: Solution :-

Q: Find the value of k so that the given differential equation is exact. (³+kxy-2x) dx + (3xy² +…

A:

Q: Which of the following is the general solution of the differential equation y" - 36 y=0 ? O…

A: y''-36y=0auxillary equation is given bym2-36=0(m+6)(m-6)=0m=-6,6m1=6 , m2=-6

Q: 3. The standard form of the first order linear differential equation xdy+ +(2.xy– 3y-4.x* )dx = 0 is

A: The main objective is to calculate the standard form of the given equation. The standard form of the…

Q: The auxiliary equation of a non-homogeneous differential equation has complex and distinct roots.…

A:

Q: 14. Which of the following is a solution of the differential equation d²y dx2 a) e10x dy 10 dx + 25y…

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Q: Which of the following is a solution of the differential equation xy' +y = 4x? y = 14x-1 - 2x %3D Oy…

A: We can solve this problem by applying the concept of linear differential equation.

Q: 1. a) Define order and degree of a differential equation with example. dy b) Solve: (x+ y)² =a². dx…

A: As per our guideline, we are supposed to solve only first subpart. Kindly repost other subpart as…

Q: solve the differential equation: 2xy dy dx x² + y² +1 Select one: y? 1 O a. F(x,y)=x-++c 1 O b.…

A:

Q: 5. A differential equation is if it can be written in the form f(y)d(y) = g(x)d(x)-

A: A differential equation is ORDINARY if it can be  Written in the form f(y)dy = g(x) dx .

Q: Which of the following is the solution to the differential equation = , where y(-2) = -1? dy dx (A)…

A: Given:     To determine: The solution of the given differential equation.

Q: If yH of a differential equation is cje2* + cze3x + cze-3x, then W1 = %3D (a) 0 (b) 9 (c) 5e-* (d)…

A: If yH of a differential equation is c1e2x+c2e3x+c3e-3x, then we have to find the Wronskain W.

Q: Solve the differential equation. x + 2y = 5-1, x>0 X- dy dx A There is no correct answer from among…

A: To solve the following differential equation.xdydx+2y=5-1x,  x>0

Q: Find the value of k so that the given differential equation is exact. (³ + kxy¹ − 2x) dx +(3xy²…

A:

Q: State the order of the given ordinary differential equation. (1-x)y" - 9xy' + 2y = cos x Determine…

A: Order of the differential Equation :  The highest order of the differential Equation is called the…

Q: A differential equation is said to be exact when ôM/əx = ƏN/əy where M and N are its corresponding…

A: -M=2lnx+xy-3 & N=3x2y-lnx+3y⇒M=-2lnx-xy+3 & N=3x2y-lnx+3y Now partially differentiating…

Q: One solution of the differential equation y" + y = 0 is y = e.A second linearly independent solution…

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

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Q: Solve the exact differential equation (n y - y sin x -без)dx+(, + cos x + 5 seс y tan y - 6у)dy %3D…

A: Here we have to solve the given exact differential equation.…

Q: Which one of the following is the Exact differential equation ? (æ² + 3xy)dæ + (y³ + a²)dy= 0 O (x²…

A: We have to check

Q: The differential equation y(4)+ay'''+by''+my'+ny=0 has the general solution of…

A: The solution is given as

Q: Solve the differential equation of the following 1. (ke2v-u) du – 2e2v (e2v+ku) dv = 0  2.…

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: (2xye(x^2)y+y2ex(y^2)+1)dx+(x2e(x^2)y+2xyex(y^2)-2y)dy=0

A:

Q: Solve the exact differential equation (n у - y sin x- бе)ӑx+(3, + cos x + 5 sec y tanу -бу)dy %3D 0…

A:

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.