cos X + cos t e' sin t, X' 1

Q: find the integrating factor of cos(x)y'+sin (x)y=2cos^3(x)sin(x)-1

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Q: Solve the partial differential equation of Lagrange’s form y^2 zp-x^2 zq=x^2 y.

A: We will solve the pde using lagrange's auxiliary equations.

Q: 3. Determine a homogeneous linear equation with real, constant coefficients that is satisfied by: y…

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Q: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

A: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

Q: order linear differential eq 22. y'+ 4y = x

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Q: (1) y = x³ lnx (4) y=²+1 (2) y = √sinh √tan.x -,u= u= 3x²-2

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Q: Solve for the differential of y when y = sinæx, x=-, and dx=- 3 2 4 4 -iN

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Q: Solve the partial differential differential by separation of variables 70z + 6 = 0.

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Q: Find the general solution of the given Ordinary Differential Eqauations system: - 9 x () where X(t)…

A: .Our general solution is of the form X(t) = C1V1eλ1t + C2V2eλ2t  where V1 and V2 are eigenvectors…

Q: a2u Q15// Solve the partial differential equation дудх = tan-lx sin³y ди = y when x = 0 and u = 1…

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Q: 3. Determine a homogeneous linear equation with real, constant coefficients that is satisfied by: y…

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Q: x3+ xy² + y)dx + (y³-

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Q: Solve the differential equation by using variable separable method: ( cosxcosy – sinxsiny)dy = dx

A: Since we can write  (cos(x)cos(y)-sin(x)sin(y)) = cos(x+y). Now solve equation by rewriting as…

Q: From the partial differential equation by elimanating the arbiraty function z=f(x2+y2+z2)

A: We have to form the partial differential equation.

Q: Use integration to find a general solution of the differential equation                  dy / dx =…

A: The given equation is  dy / dx = tan2 x

Q: A forced, damped, mass-spring system satisfies the differential equation a" + 4x' + 5x = 3 cos(t) +…

A: Given that x''+4x'+5x=3cost+sint Take x''+4x'+5x=0 Assume m=ddt, m2+4m+5=0m=-4±16-202m=-2±i So the…

Q: determine the general equation using bernoulli differential equation siny(x+siny)dx+2x^2cosydy=0

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Q: Find the general solution of y'= sin²xcosy.

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Q: Write down all possible methods in which the (х- differential equation 2x = 2y) dx/dy can be solved.…

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Q: Determine the general solution and the particular curve that goes through point (0,0) of the e* cos…

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Q: dy/(3x2) = (1 + y²)1.5 dx.

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Q: Find the differential operator which will annihilate the function 2x + r³ – sin 2r.

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Q: 2 Express the flowing equation in Cartesian equationr = 1-cos e

A: The given polar equation is: r=21-cosθ

Q: Form the partial differential equation by eliminating the arbitary function from z = xy + f(x² +y°)

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Q: What is the integrating factor of (y – cos² x) dx + cos xdy = 0?

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Q: Find the general solution to the differential equation y = x* tan(y) y = help (formulas) Use the…

A: Recall: ∫xn dx=xn+1n+1+C ∫cosxsinx dx= lnsin(x)+C ; Where C is integration constant. In this…

Q: Obtain the particular solution of (3siny-5x)dx+2x^2cotydy=0 using Bernoulli's Equation. (Complete…

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Q: Find a solution for y in terms of x that both satisfies the differential equation and passes through…

A: We have to find the solution of differenrial equation

Q: dy cosx+ ysin x =1 dx

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Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) = c₁cos (0)…

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Q: obtain in alinear differential eqaution with real, constant coefficients that is satisfied by the…

A: The solution of the problem is given in the next step.

Q: Eliminate arbitrary constant from z=(x-a^2)+(y-b^2) to from the partial differential equation

A: Given z=x-a2*y-b2Hence number arbitary constant is 2 and number of independent variable is 2 . So…

Q: 7. Find the differential dy of the function y = x (1-cos(x)). If the error in x is ", find the error…

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Q: determine a unique solution of the separable differential equa- tion that satisfies the given…

A: The given differential equation. dhdp=ep sinp sec3h                 h(0)=0 Separating the variables…

Q: (a) Determine f 2xe3*dx by using integration by parts. (b) Determine S cos(x²) 2x dx by using…

A: Given,  ∫2xe3xdx ; We have to integrate using integration by parts ∫cosx22xdx ; We have to…

Q: Solve the partial differential equation of Lagrange's form  xy2p-y3q=-axz.

A: P p+ Q q=R z We solve partial differential equation by method of Lagrange's multiplier The…

Q: Obtain the differential equation of all straight lines with alebraic sum of the intercepts fixed as…

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Q: 2. Solve for general solution using exact method. (cos x cosy – cotx) dx – sinx siny dy = 0 %3D

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Q: Form the partial differential equation by eliminating the arbitary function from z=xy+f(x2+y2)

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Q: Form the partial differential equation by eliminating arbitrary function from z = e" f(x – y)

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Q: Solve using determining the integrating factor: cos x dx + (1 + 2/y) sin x dy = 0. %3D

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Q: The homogeneous linear differential equation whose auxillary equation has roots 1, 1 and – 2 is

A: The homogeneous linear differential equation whose auxiliary equation has roots 1,1 and -2 is

Q: Determine which of the given differentials is/are exact. In case it is exact, find the functions of…

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Q: A/ By using Linear equation solve the first order differential uation y' + sec(x)y= cos(x)

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Q: tan(2x + 2). Find the differential dy when x = Let y : 4 and dx 0.2 Find the differential dy when x…

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Q: The indicated functions are known linearly independent solutions of the associated homogeneous…

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Q: Obtain the particular solution. 1. 2y dx = 3x dy ; when x = 2 , y = -1 .

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Q: azu Ex: Solve the partial differential equation дудх sin³x cos²y given that du %3D siny when x=0 and…

A: First take x as a constant and integrate with respect to y and the other one