sinh(3x) +1 y = 3 6 sinh(3x) – 1 y = 6 2 sinh(3x) – 1 y = O y = sinh(3x) O y = sinh(3x)+1

Q: It is known that Yp = a cos 6x + b sin 6x is a particular solution of the differential equation y" –…

A: Given differential equation is y'' - 13y' + 36y = 3sin 6x

Q: Show that the given differential equation is not exact hence solve it 2²ydx – (2³ + y³)dy = 0

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Q: Consider the following differential equation dy dx + 2y = 2x²y + y² Select the option that correctly…

A: Given DE is y'+2y=2x2y+y2 ......(1) We select the option that correctly describes how the solution…

Q: What is the general solution of the differential equation y" + 4y = cot 2x? Oy=G coe 2 +Gn 2-ain 2e…

A: variation of parameters, suppose it is desired to find a particular solution of the equation y″ +…

Q: The solution of following Differential Equation dy sec²y+x tan y = x³ , is %3D dx

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Q: Solve the differential equation 2 ď²y dy + 4y = cos(ln x)+x sin(ln x), r > 0, dr dr? by using the…

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Q: If a nonhomogeneous linear differential equation has g (a) = sin 5a, what is the form of its…

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Q: If we use the method of undetermined coefficients, the particular solution of the following…

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Q: Given the differential equation 2 y" + 18y = 6 tan(3x) Determine the value of u2. AH2 "3 =" 9*…

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Q: ду 9. The differential equation (3ycos.x+4xe" +2x'e" dx+3(sin x+1)dy 0 is exact because ON 10. The…

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Q: The general solution of the differential equation d?y + 6y = sin 4x is dx 2 sin 4x O y = c¡ cos /6x…

A: The given differential equation is d2ydx2+6y=sin 4x. Consider the homogeneous part of the given…

Q: For what values of C1 and C2, the function y=Cje+oe satisfies the differential equation-y-0 subject…

A: Given differential equation is  y" - y = 0

Q: What is the particular solution to the 2² +3 with the differential equation dy da 3y initial…

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Q: Make an appropriate substitution to find a solution of the equation dy/dx = sin(x – y). Does this…

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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: Determine an appropriate choice for a particular solution for the differential equation y" + 4y = 3…

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Q: 4. y = x cos(In x) x²y" - xy + 2y = 0

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Q: y' = 2y + x(e3x – e2x) y(0) = 2 %3D

A: To solve the following problem by 4 step   Find yc Find p.i. yp  The general solution = yc + yp…

Q: Given: (1+ 2ytan x)dx - dy - 0, determine the solution to the differential equation. O a. 2y cosx-…

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Q: Find the particular solution to the differential equation: dy dx 3x2 cos? y. Solution passes through…

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Q: 2 sinh 3x cosh 2y dx + 3 cosh 3x sinh 2y dy = 0

A: First I have made the differential equation into variable seperable form and then solved them.

Q: Consider the solution to the differential equation y' with y(1) = 1. 3x (a) Apply Euler's method…

A: Given y'=4y3x with y1=1 Here, x0=1, y0=1 (a) We will find the value of y2 by Euler's method with a…

Q: The standard form of the differential equation cosx y' + cosx y = x sin x is: None of the above O…

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Q: The general solution of the differential equation d²y + 6y = sin 4x is dx2 sin 4x O y= c¡ cos/6x +…

A: The differential equation is d2ydx2+6y=sin4x. The solution of the equation will be of the form…

Q: what is the particular solution to the differential equation dy/dx=3sin(x)(2-y)with the initial…

A: You need to apply variable separable metod to solve the given differential equation.

Q: Without solving for the undetermined coefficients, the correct form of a particular solution of the…

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Q: The differential equation obtained by eliminating the arbitrary constants A and B from the relation…

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Q: 6. Solve for the general solution of the differential equation using exact equation [2x + y cos…

A: Given differential equation is  [2x+ycos(xy)]dx+xcos(xy)dy=0

Q: The general solution to an inhomogeneous second order differential equation is: y = Aer + Bent +ae*…

A: Given problem:- The general solution to an inhomogeneous second order differential equation is:   y…

Q: Show that the differential equation [y(1+1/x)+cosy]dx+[x+lnx-xsiny]dy=0 is exact.Hence solve it

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Q: (2x3 – xy – 2y + 3) dx – (x²y + 2x) dy =0 - - -

A: The solution is given below in the next step:

Q: Show that an implicit solution of 2x sin2(y) dx - (x2 + 19) cos(y) dy = 0 is given by In(x² + 19) +…

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Q: Select the general form of a particular solution for the differential equation y" + 4y =5 cos(2a). O…

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Q: 9. The differential equation (3y cosx+4xe" + 2x'e' dx + 3(sin x +1)dy=0 is exact because aN

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Q: Find out if the singular points of the following differential equation are regular or irregular.…

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Q: a) Predict if the following differential equation is exact or not. Hence solve it. dy xy-cos xsin x…

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Q: What is the family of solution for the differential equation below? (1 point) dy 8sin4x dx a. y=-…

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Q: Obtain a solution for each of the given differential equations using the metho discussed. 1. (3x –…

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Q: If the RHS (Right Hand Side-the source) function of a second-order differential equation with a…

A: We have to solve given problem:

Q: . Maiko is done computing for a GS of a Differential Equation. After applying the initial condition…

A: The particular solution of a differential equation is a solution which is free from arbitrary…

Q: The solution of the differential equation using dy = 5/1- y? dx variable separable is cOs 5х + с O…

A: Solve by variable separable

Q: The differential equation (3ycosx+ 4xe* + 2x²e* ]dx + 3(sin x + 1 )dy = 0 is exact because ƏM ƏN

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Q: The solution of the differential equation by variable separable method dy 3 + y?) (3x² + 6) is_ dx…

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Q: a) Is a unique solution guaranteed for the differential equation below? Do not solve the DE. Support…

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Q: To find a particular solution for the differential equation y"+4y = tan r with the variation of…

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Q: dy dx X2 (1+y2)

A: Let's solve given diffrential equation.

Q: If we use the method of undetermined coefficients, the particular solution of the following…

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Q: The solution to the differential equation -y x cos(3x) - is: Select one: cos(3x) + cx2 O 3x² sin(3x)…

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Q: 3x√y. For y is not

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Q: Find a suitable form for particular solution of the differential equation y" - 2y +2y = te' cos(t) -…

A: First option is true by choosing suitable constant