Solve (D'+4D+4)y-e*sin2x.

Q: 3. J sinh(5x – 1) dx

A: Please refer the attached image for complete solution.

Q: Integrate sin^2(7x)-cos(x)

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Q: Integrate: ∫sec^(3)2xdx

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Q: Can we solve following differential equation by separable variable method dy y = eV+sinx secx %3D dx

A: Given differential equation is as follows : secxdydx=ey+sinx……1 Let Fx,y=dydx If Fx,y can be express…

Q: Solve 2 sinh(x)– cosh(x)= 5 by using the definition of the hyperbolic functions.

A: We know thatsinhθ=eθ-e-θ2coshθ=eθ+e-θ2

Q: x3 dx (x – 1)5 y = Select one:

A: First evaluate the integral by substitute method. Then apply the limits of integral.

Q: Describe the method used to integrate sin² x.

A: The process to find the integration of sin3x is to write in a way through which its differential can…

Q: Integrate cos2x/sin^2(2x+8) dx

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Q: Solve by Chain Rule (V3x² + In(5X*)) y = tan

A: To differentiate the given function using chain rule.y=tan3x23+ln5x4

Q: Express in exact form: In(x² + 1)dx

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Q: Which curve solves the differential equation and passes through the point (0,1)?

A: Using variable separable for solve differential equation.  Let -x2=t then taking integration on both…

Q: Describe the method used to integrate sin3 x.

A: Given I = ∫sin3x dxTo integrate sin3x , substitute sin3x  = sinx . sin2xor sin3x = sinx . sin2x =…

Q: Solve by Chain Rule y = tan ( V3x² + In(5X*))

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Q: 2 cosh(2x) – sinh(2x) = 2

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Q: Solve for 0 <x< 2n. 4sin'x - sinx = 0 %3D

A: Solution of trigonometric equation

Q: Solve by Bernoulli ODE and Integrating Factor: y' = y2+ 3y cotx

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Q: solve for the intergral of (2sinx)/(1+cos^2x)dx

A: The integral to be evaluated is  ∫2 sinx1+cos2xdx. Here, we can use substitution method to evaluate…

Q: Find ∫cosh 2x sinh2 2x dx.

A: To find the value of the integral∫cosh2xsinh22xdx

Q: find the root of 3x +sinx -e ^x=0 using secant method

A: Let us consider the function fx=3x+sinx-ex. We have to use the secant method to find the…

Q: find integral sec 3 x dx

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Q: 2. Integrate using Trig: cos° x dx

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Q: Compute sin x dx er + 3e -x 8.

A: We have to compute the given expression ∫sinxex+3e-xdx from -∞ to ∞ Therefore, The  given expression…

Q: 3. J sin53x dx. 4. J tan 2x sec22x dx.

A: ∫ax+bn dx=1aax+bn+1n+1+C

Q: 2-3z2 dx

A:

Q: 2. Solve 3shn-sinx-2= over the interval [0,27). 2 sın'x-sinx-|:0

A: The objective is to solve the above expression.

Q: 3. Solve xy" – y' – 4x' = 8x' sin x² with change of independent variable method 4. Solve *+…

A: We are entitled to solve only one question at a time. In the question , the third term has to be…

Q: 3- - 플 플 sin²cyl y จน

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Q: Find the differential equation of family of lines whose angle of inclination is 60 degrees.

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Q: Use the hyperbolic identity cosh(2x)= 2 cosh2 (x)-1 to solve 4 cosh(2x)– 22 cosh(x)+ 19 = 0 .

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Q: Give 1 problem application of differential

A: We have to explain a real life example of differential equation.

Q: If y = sin2x, the derivative dy/dx is equal to a. cos2x  b. sin2x c, 2cosx  d. 2sinx (SOLVE BY…

A: Solving the equation by the method of differentiation.

Q: sinh 2x cosh 3xdx.

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Q: Solve differential equation by variation of parameters y"+9y = sin?(3x)

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Q: Exercises to solve: 1. fx² In(x + 1) dx 2. (x2 + x – 2).cos4x. dx 3. Se-*sinxdx 4. S sinh2x.cosh5x…

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

Q: S sin4xVcos4x + 1dx

A: Let u=cos(4x)+1 Then du=(cos(4x)+1)′dx=−4sin(4x)dx  and we have that sin(4x)dx=−du4

Q: Can you provide atleast 5 average or complex examples of Ordinary Differential Equations?

A: I listed 5 example of ODE with answers.

Q: Evaluate sin (4x) cos -2(4x) dx. | sin (4x) cos -2(4x) dx = O

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Q: 2.) Solve Implicitly 3 (2xy +) dx + (3x³y² + siny) dy =o

A: Here we have to find solution of given differential equation.

Q: Solve 3x^2-Siny=0, xy^2-x^3+7=0, initial point (-1,2) .

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Q: Solve the differential eguation 3-

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Q: Calculate •3 2x -dx et – 1 - -3 by Gaussian quadrature with n = 3.

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Q: A man is walking at a rate of 1.5 m/s toward a street light which is 5 m above the level ground. At…

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Q: Integrate: S dx sin ³x cos6x

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Q: sin 0 · dr/d0 = -1– 2r cos 20 -1 - 2r cos 20

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Q: Determine which differential equation is linear:* (tan 2x)(")+(x-23)(»")' = In.x

A: A differential equation is linear only if it satisfies the conditions below. The degree of the…

Q: using partial differential equ

A: Charpit's auxiliary differential eqs are

Q: Ssin(3x) sin(7x) dx

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Q: Q3: Find 1. cosh(5x)+ sinh(5x) 2. (sinhx+ coshx)*

A: Given,