Solve the following using integration by parts. - determine the best u and dv for the given problems

Q: Evaluate the integration by parts (5х)(сos(3x))dx 0.

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Q: Solve the following Bernoulli's D.E.: dy 3 „y = x*y3 1 %3D dx

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Q: Find the general solution or particular solution of each of the following DE's 3. (y2– 2x3) dx – 2xy…

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Q: x²y' + 2xy = ln(x), y(1) = 2

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Q: Determine whether the following equation are separable. If so, solve the initial value problem.

A: The given equation is Simplify it It implies that the given equation is separable.

Q: Evaluate the following problems by obtaining the general solution. Show complete solution.…

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Q: S (3 – x)°x*dx

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Q: Solve the following ODE by introducing integrating factor on the process of your calculation: x dy +…

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Q: Find an integrating factor and solve the given equation. (15x + ²) + (5²+ 15y dy X dx

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Q: ty" + 4y' = 12 O t

A: We have to find

Q: Find an integrating factor and solve the given equation. (12x + 3) + (4²+¹2) = 0 12y dy dx

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Q: 4. (ху + 1)dх +x?dy 3D 0

A: The differential equation is given as (xy+1) dx+x2 dy=0. We need to solve the equation by…

Q: 4.2 Apply the appropriate method to calculate the following: x5+ I = S = s** dx x2 -4

A: Given  I=∫x5+x4-8x2-4 dx

Q: Solve the the following integral equation. S(1) = –1+ / f(t – T)e-$" dT. -37 %3D

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Q: Solve the following using the method of solving other substitution methods dy x+ y- 1 dx 3.

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Q: Solve the following IVP dy у+ 2x* , у(1) — 1 dx

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Q: Integrate the following: 1. Integration by parts: 2 5 ex d x 3

A: Use formula of integration by parts.

Q: S x²eïdx

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Q: Solve the two items using Integration by parts. 1. [x' v9-x? dx Se sin x dx 2.

A: To find the given integral by integration by parts :-

Q: + 6x)dx + (ln æ – 2)dy = 0

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Q: Q5: Solve the following integrals:- *+2-1 (21) Zv- xp- (3) f(x-5x)e"dx (4) dx (1) f- 245x-6

A: According to the guidelines I am supposed to do the first question among multiple questions. To get…

Q: 10. V² dx

A: the given integral is: ∫x23dx we have to solve the given integration.

Q: Q4: Solve the following integrals:- dx (1) ſ; 4dx (2) S; (3) ſ x sec² x dx 2+cos x sec xesin x

A: Since you have posted multiple subparts question in this question so i have solved first three parts…

Q: У(2ху+ 1)dx — хӑу %3D 0

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Q: Solve each of the following DEs by determining its integrating factr. y(xy+2)dx+(x²y+8x-4y²)dy = 0

A: The differential equation is given as y(xy+2) dx+52x2y+8x-4y2dy=0   …(1) In a differential equation…

Q: Q4: Find integration for the following functions: - x²dx d- S; (x-1)(x+1)²

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Q: Integrate the following given .2 Vx' +1

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Q: Solve the following integrals: 1. S 7e*dx 4. S 12*+1dx 5. S-dx 2. S(5ex – 6*)dx 3. Ј 3(5)dx 6.…

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Q: (x³y³ + 1)dx + x*y?dy = 0

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Q: Solve the Following D.E x*dy = (z xy-j') dx %3D

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Q: Find the integration for the following: 1. S(x² – 3x + 1) (2x – 3) dx -

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: Solve the following DE • X – dy =2

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

Q: J. (1+vx), √x dx

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Q: Solve the following initial-value problem by using integrating factors: x?y' + xy = 1, x> 0, y(1)=2

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Q: Use integration by part to obtain a formula for S x"e*dx and use it to find S x'e*dx. Bx

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Q: 2 dy = Y – xy; y (–1) = 1 dx

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Q: 2. S dx I+,x

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Q: 2. √ (e²x +e-2x) S 2 dx 1/

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Q: Solve each of the equations. Integrating Factors 1 e* ) dx +2 (x* + lIn x – e*) dy = 0; y (1) = 0…

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Q: Solve each of the equations. Integrating Factors Зу 3x?y + dx + (2.x + 6 In x) dy = 0 %3D

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y…

Q: Solve each of the equations. Integrating Factors (5r* +-e") dx + 2 (x°+1In x – e*) dy = 0; y (1) = 0…

A: We have 5x4+1x-exdx+2x5+lnx-exdy=0 A differential equation of the form Mdx+Ndy=0 is said to be exact…

Q: Solve the Following D. E x*dy = (z xy-jJ dx %3D

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Q: Solve the following linear IVP by first finding appropriate integrating factor an dy x = 2y², y(1) =…

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Q: Q2: Solve the following integral (1) 7x²+14x+15 (x²+3)(x+7) dx dx ; (2)

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Q: Solve the following integral step by step 0 2yz s z=0 y=sin(2z) x=0 sin X² y dxdydz

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Q: Q1: Solve the following integral. dx 1 + 2**

A: We evaluate given integral