dy What is the solution of the differential equation of x 2y I* cos 4x ? %D dr 4y = - sin 4r + Cr 2 sin 4z + Cr %3D O 4y = cos 4r + Cr ? Oy = 4r sin 4r + C %3D

Q: dy Find the particular solution of the differential equation 4x using the given boundary condition:…

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Q: Which of the following is the general solution to the differential equation cos(x) cos(y) dx –…

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Q: Find the solution of the following Differential Equations 5) sinh(x)cos(y)dx = cosh(x) sin(y)dy 7)…

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Q: Solve the differential equation. dy y + 1 dx O In |x| – ? () = tan - ex - x + tan-'(x) = C In |x| –…

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Q: Solve the separable differential equation dy 8z – 6y Vz? + 1 dr = 0. Subject tn the initjal…

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Q: (х + 2) dx (x + 3) sin y cos y dy In(x + 3) sin? y + C - ans. 2 2.

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Q: 7. Which of the equations given below is the particular integral of the following differential…

A: Particular integral problem...

Q: 1. Solve: sin z cos² y dr + cos? r dy = 0, y(0) : (separation of variables) 2. Solve the linear…

A: according to our guidelines we can answer only one question and rest can be reposted.

Q: (4x + y – 6)dy .. 2х + = y dx Prove this differential equation with an answer: (х — 2х + 3)3 %3D…

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Q: Use Frobenius method to find the solution in powers of x for the differential equation: xy'' + xy'…

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Q: 2. The general solution to the differential equation below is: * - k²x = 0 , x= sin(ky) %3D dy? Not…

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Q: Given the differential equation dy 4x2 cos (3y) dx Separate the Variables, and then rewrite using…

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Q: What is the appropriate integrating factor to the ff. linear differential equation? dy + (1+xcotx) y…

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Q: We have the differential equation Uxx = Utt with boundary conditions U(0, t) = 0 and U(pi, t) = 0…

A: According to the problem, we have

Q: The value of k so that the differential equation (6xy³ + cos y) dx+ (3kx? y? - x sin y) dy=0 is…

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Q: dy Solve for the general solution of the differential equation (ax+by+c)² where a, b, c e R dr and…

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Q: Which of the following is the general solution to the differential equation (x + sin y) dx + x cos y…

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Q: What differential equation has y = x2 cos y - 4x + C as a solution? a. (2x cos y – 4)dy - (1 + x²…

A: The objective is to find the correct differential equation

Q: Solve the differential equation with subs equation : S y(s) = (s+2)² +1 O e?"(cos t – 2 sin t) O e2"…

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Q: Show that an implicit solution of 2x sin (y) dx – (x² + 12) cos(y) dy = 0 is given by In(x? + 12) +…

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Q: 7. Which of the equations given below is the particular integral of the following differential…

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Q: Which of the following differential equations can be solved by separation of variables? у1+2у)dx -…

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Q: Obtain the general solution of the differential equation x²y" = xy' + sin(ln(/T)) for x > 0 It may…

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Q: : Consider the differential equation y" – 2y – 3y = 5 cos(2x). a) Verify that the family of…

A: This question can be solved by using the concept of solution of second order non homogeneous…

Q: What is the general solution to the differential equation dy = dx + 3y tan x ? sin³x y cos³x = sin x…

A: Correction : In right hand side of given differential equation is {dx + 3y tan x dx}

Q: dy The solution of the differential equation using variable separable + 10 sec y = 0 is_ dx O siny =…

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Q: . Given the differential equation: 3x² cos y dx - sin xdy + 2xdx = y cos x dx + 2x³y sin y'dy, y(0)…

A: Given: The differential equation is 3x2cosy2dx-sinxdy+2xdx=ycosxdx+2x3ysiny2dy. The given step size…

Q: 7. Which of the equations given below is the particular integral of the following differential…

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Q: dy dz = csc z by Direct method The solution of the differential Equation In (tan +e O In (csc +e O…

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Q: dy Verify that differential equation 8e cos(y) – 2 is exact. dx 8e" sin(y) + 4y In(x) + 5y2 Find the…

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Q: 5. Is y = -x cos r-x a solution to the following differential equation? ry y+x sin r

A: We will put the value of Y = -x*cos(x) - x in the given differential equation to prove that it is a…

Q: odr bni (d) d²y 16. y=5 sin x +2 cos x, dx2 +y=0

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Q: Find the general solution of the differential equation y" + zy' + 25y = 6 cos(5 In z) + 6 sin(5 In…

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Q: The degree of the differential equation 2 (d²y' (dy\ 3 +1 = 0 dx2 dx, none O not defined O 2

A: Degree of the differential equation is the power to which the highest order derivative is raised.

Q: What is N(x,y) for the following differential equation: x(1 - sin y)y' %3D (сos x - сos y — y)

A: Given a differential equation, x1-sinyy'=cosx-cosy-y

Q: Find the general solution of the given differential equation: y" – y = sin? z cos 2z 10 O By cos 2r…

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Q: Which of the following differential equations can be solved by separation of variables A ´sin 2y dx…

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Q: The Particular Integral of the differential equation (D + 36)y = 13 cos 6z is O PI = 13z sin &z O PI…

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Q: What is the appropriate integrating factor to the ff. linear differential equation? dy + (1+ xcotx)…

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Q: What is the appropriate integrating factor to the ff. linear differential equation? dy +(1+xcotx) y…

A: Given that, The differential equation is following, xdydx+(1+xcotx)y-x=0 We have to find the…

Q: The differential equation dy 4e" cos(y) + 3 dr 4e* sin(y) – 6y In(x) + 3y? Has solutions of form…

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Q: A second-order non-homogeneous differential equation is given by d2y/dx2 − 10 dy/dx + 21? = 21x2 +…

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Q: ich of the following differential equations can be solved by separation of variables? ) м1+2у)dx-…

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Q: Solve the differential equation. dy = 3 cos x sec y dx Oy = sin1 (3 sin x + C) O y= sin (3 sin x +…

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Q: The standard form of the following linear differential equation dy sin x = (cos x)y + xsin x + 2 is:…

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Q: dy What is the general solution to the differential equation -y = (2) sin x ? %3D dx y = x?(2x cos x…

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Q: dy ip dy. + x()2 by using a suitable substitution. dr dr 4) Solve the differential equation r- dr2

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Q: 22. Use separation of variables to find the general solution of the differential equation. dy = sinx…

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Q: 4. Which of the following differential equation can be solved using separation of variables? " (x-…

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Q: To solve the ordinary differential equation dy 4 + 5y² = sin x ,y(0) = 5 dx by Euler's Method, you…

A: The given differential equation is       4 dydx+5 y2=sinx,  y0=5.......(i) We have to arrange the…