3. sinx — -1-2усosx dx

Q: Solve by separating variables. dy = 4x°y dx 3 (Type an exact answer.)

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Q: This equation is an example for linear equations dy y = x²e* %3D dx False True

A: We have to find if the given statement is true or not.

Q: Solve the general solution y" + y = xex sin 2x

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Q: C3x -y sin xy) de - x sin sy dy o HSin

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Q: Determine the form of a particular solution yp of Ур y" + 4y = x cosx. Do not solve the equation.

A: Here given the differential equation as y''+4y=xcosx or D2+4y=xcosx where D=ddx

Q: A. Find the family of solutions of the following equation using linear differentic equations. 1. y'…

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Q: carctan3/2 3 sec x y dy dx

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Q: y''-5y=sinx

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Q: Find the solution of the equation 3U,-5U, =0 satisfying the condition U(0, y) = sin y

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Q: The equation of motion of a body performing damped forced vibration, is given by d2xdt2+5dxdt+6x=cos…

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Q: Find the general solution for the given equation: y’’ + y = csc x

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Q: solve using linear (y-cos2x)dx + cosxdy = 0

A: Topic = Differential equation

Q: sin(y) x(ax + by)-2

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Q: Write an equation of the form y=a sin bx Ol ↑y. BIN 4 4- 2. NAI 3π 37 4

A: Standard equationy=asinbxhere|a| is amplitude2πbis period

Q: 3. Solve the following diferential equation (y – y² Inx)dx = x In xdy.

A: solution of the given problem is below ...

Q: Solve each of the equations. Integrating Factors 3x?y + 3y dx + (2x3 + 6In х) dy %3D0

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Q: Solve the following equation by variation of parameters ? y" + y = sin x

A: Replace y" by m2  to obtain the auxiliary equation. equate the roots to α±βi to obtain the values of…

Q: y"+ y= sec'r 4 sec*x %3D

A: We have to  find the  general solution of the given differential equation.

Q: dy ----- + 2xy 2x using the method for linear equations. dx Solve ww-

A: Given the ordinary differential equation dydx+2xy=2x

Q: In (by — аx) : COS X

A: taking anti log and solve

Q: v3 du + (u uv²) dv = 0. Solve the given equation

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Q: Show all solutions. Find dy and evaluate when x=2 and dx=0.2. y=xe1-2x

A: For an equation of the form y=f(x) the differential is calculated by differentiating with respect to…

Q: :-Solve the following equations (choose three only):- 2 1- y' + ²y = -x³y5 2- 2xydx + (x²-1)dy = 0…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Write the given Bernoulli equation in standard form and Solve the equation t2 + 3y? y' t > 0. 2ty

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Q: tan(r) y" + ?V + y =

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Q: Solve the equations by variation of parameters y'' + y = sin x

A: Let us consider the given equation and solve it using the variation of parameters

Q: dy %3| 6x5-2x+1 dx cos y+ey

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Q: Eliminate the arbitrary constant from the given equation: y=ce2x cos3x +C2e2Xsin3x

A: The rule for eliminating arbitrary constants from a given equation:  As a rule, one requires n+1…

Q: Solve the equations by the method of undetermined coefficients. y''- y' - 2y = 20 cos x

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Q: Find d (a) (1? – V)] dx

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Q: Solve for the general solution of the following equations: y(4x + y)dx – 2(x² – y)dy =( а.

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Q: Q1:-Solve the following equations (choose three only):- 3- x²y + 3xy' + y = 0 4- 2-4x+ 5y = sin3x dx…

A: Given

Q: Solve the deferential equations dy x2. = xy – y? dx

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Q: Given, 1 y" +-y' + y = 0 x2 Write 2 linearly independent solutions (in the form of Bessels'…

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Q: I Solve the di fferential equations ( 2x-5y+12) dx +(7x-4y+15) dy - o 2.

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Q: 3x(xy – 2) dx + (x³ + 2y) dy = 0

A: Given differential equation is     3xxy-2dx+x3+2ydy=0

Q: Find the general solution of y' = y sec x

A: Given, The differential equation y'=ysecx We have to find the general solution.

Q: \y' = (y – 2) cotx -lve it as separable equation and verify your swer by solving it as a linear…

A: Topic = Differentail equation

Q: Determine which one of the following equations are linear equation. If nonlinear identify the…

A: Here we describe the equation is linear or not.

Q: 1 dx x² – 1 C3 5. . J2

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Solve the equations and simplify the final answer. 1. (2x– 3y + 4) dx + 3(x– 1) dy = 0; when x = 3,…

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Q: Solve the disferential equation Xy' +y = x³ y? sincx)

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Q: one of the following is not linear equation Select one: a. 1/2 x+y=10 b. (sin 4) x, - 4x, =e С. sin…

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Q: find the homogenous linear equation satisfied by the following functions y = x2 sinx+ e5x

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Q: 1. y = x?ex + 4e*

A: This is a differential equation problem

Q: Find the general solution of the equation. Express the solution explicitly as a function of the…

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Q: y' + y = y2

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