Solve to Find if cscx – San () dt = 4 – y?

Q: Draw a slope field for the differential equation / = 0.2x² + y

A: We have to draw the slope field for the following differential equation, y'=0.2x2+y

Q: Use an Integrating Factor to solve the differential equation.

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Q: By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)

A: Follow the procedure given below.

Q: Solve the differential equation using variation of parameters. d’y +y= sec³(x) dx

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Q: Latel I, Vx2 + y² dV,

A: answer is in next step

Q: Find the integrating factor of the Bernouli differential equation, y : a dr

A: The given differential equation is                                              y'=y2x2-yx

Q: Solve the differential equation by variation of parameters. y" + y = sin(x) y(x) =

A:

Q: y' – y = 2te',

A: Laplace transform: L(y'(t))=py(p)-y(0) L(y(t))=y(p) L(2tet)=2(p-1)2

Q: Solve this non-homogenous differential equation using variation of parameter: (D2+1)y = sec3(x

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Q: ( .) Find the solution to the differential equation dz dt that passes through the origin. 2= 5te6z

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Q: Find the 4th order differential of the function y=√2x+1.

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Q: solve the differential equations by using integrating factor y'= (y/x) + 2x+1.       when ; y(1)= 3

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Q: Find the differential equation whose general solution is y = C1x + C2ex. %3D

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Q: The integrating factor of the differential equation xdy+ ydx= x3y6dy is

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Q: show Itat the differential equation メり dy - -2-ye" dx xーとリ Xe 29 its exact and find its Folution

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Q: The differential equation formed by eliminating a and b from y = ae* + be* is

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Q: Show that cos x is the integrating factor of the linear differential equation dy/dx= sec x+y tan x

A: Integrating factors are useful for solving ordinary differential equation  that can be expressed in…

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

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Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

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Q: Solve the differential equations using variation of parameters 1. (D²+1)y= sec³x

A: Given differential equation:D2+1y=sec3x Concept used: Variation of parameters.

Q: 2wt dt/dw = t2 - 2w3

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variables x for w…

Q: Find the general solution of the differential equation and check the result by differentiation.…

A: Given the differential equation:

Q: Find the curve y that satisfies the differential equation y' sin r and passes through the point (T,…

A: Integrating the equation

Q: y(4) 4х + 2хе %3D

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Q: 2-3z2 dx

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Q: The integrating factor of Y + 3y cscx= cotx is?

A: Consider the given differential equation, y'+3ycscx=cotx This is the first order linear differential…

Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

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Q: tan st e dt 2

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 3. Vdx + (2x +1 – Vx)dV = 0

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Q: -5 1 -dx Jo 2x+4 1 dt 2 V6-t 1 ii) S,

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Q: Write the first-order linear differential equation in standard form. (Enter y' as yp.) x3 - 8x?y' +…

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Q: Find the general solution of the differential equation and check the result by differentiation.…

A: On simplification, we get Now integrating on both sides, we get

Q: dt dx 3. 6x – x² 4. sin xV1 XN Cos xdx 3x 5. 1-2e3*) 6. dx

A: We solve only 4th question.  Let 1-cos(x) =t

Q: Find the serial solution of the differential

A: We have to find out the series solution of the differential equation y''-xy=0 at the neighborhood at…

Q: Find dx (e3t + 1)dt. -cos(3rx)

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Q: Solve the differential equation by variation of parameters. y" + 2y' + y = et In(t)

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Q: Solve drc dt dy dt 200 +

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Q: What differential equation has y = x² cos y - 4x + C as a solution?

A: We have to find

Q: The Bernoulli's equation dy +ytanx = y'sec x after multiplying dx -2y and use appropriate…

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Q: Solve using separable differential equations dx 3xt? dt

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Q: Solve using separable differential equations dx 1 dt хet+2x

A: Using variable separabale method of differential equations.

Q: O y"+y= secx cosecx %3D

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Q: . Use separable equations to find the general and particular solution of xy dx – (x +

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Q: ry' = 3y + y? ху

A: Solution of a nonlinear differential equation

Q: The linear differential equation y' - cotx + 3y csc x = 0 has the integrating factor tan A tan () B…

A: The objective is to find the integrating factor of given equation: y'-cotx+3ycscx=0

Q: (a) f* (1 – cos 3t) sin 3t dt,

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the integrating factor for the equation dy + sin(3x)y 223 dr

A: find the integrating factor

Q: If you have the equation dx/dt = a,are you allowed to multiply both sides by dt to change the…

A: We have given,