Solve the HDE: a²y' = . xy+5x²e5v/x

Q: Apply the method of integration by parts to (In=) In æ ) (--) e dx dv

A:

Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

Q: sec( c)+y dy e sec do

A: Given differential equation is homogeneous equation

Q: Evaluate ∫x3 √(1 - x2) dx using integration by parts.

A: Consider the given integral Here the objective is to evaluate given indefinite integral.

Q: Use integration to find a general solution of the differential equation             dy/dx = ex/(4 +…

A: Given ,           dydx=ex4+ex

Q: S(1 - In =) 1 dx x2

A:

Q: 2. dy dx

A:

Q: dx S COsxtanx

A: Here we will solve the given integration,

Q: The integration of dx is 4+x²

A: The given integral ∫dx4+x2 can be evaluated as, ∫dx4+x2=∫dxx2+22                =12tan-1x2+C…

Q: Before integrating, how would you rewrite the integrand of S(x* + 2)² dx?

A: To solve: ∫(x4+2)2dx

Q: lo calculate S dx 3x2 - 2 integration by parts is the best integration technique to use. True False

A: The given question contains an integral that we have to solve . The question consists of terms of x…

Q: Find the sdution of the. differential equation that Satisies the qven intal condition

A: We have to find solution of differential equation with given initial condition.Differential equation…

Q: 2+x a) S dx x²+9

A: Given: I=∫2+xx2+9dx For evaluating given integral, first we separate terms then integrate it

Q: Without integrating, explain why: S, ?)°dx = o x(1+ x* -2

A: To show:     ∫-22x1+x22dx = 0 (without integrating)

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

A:

Q: Find integration from 0 to π/4  √(secx) tanx dx

A:

Q: Sx9'de 1. Integrate:

A: Given :

Q: Determine the integrating factor xydy - (y2-3x2)dx = 0

A:

Q: Solve ∫xn ln x dx in tegration by Parts?

A: Given:               ∫xn ln x dx Apply integration By Parts:              ∫xn ln x dx=ln x∫xn…

Q: 8. dx +x2 Integrate:

A:

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 the integrating factor of dy/dx+2y tanx=sinx

A:

Q: O Integrate In 2x dx by using integration by part.

A:

Q: dx 62 + x² Integrate:

A:

Q: Explain how to simplify x³ + Vx x3/2 the integrand of integrating. dx before

A: The given integration is ∫x3+xx32dx Solution: To solve the given integration first, separate the…

Q: In integrating the function fx cos(3x) dx using integration by parts, what would be your v?

A: Solution

Q: In integrating the function fx In 5x dx using integration by parts, what would be your v?

A:

Q: ] Integrate by parts to show that Vx dx = 2e4 - e* dx. ex. е —

A: To evaluate the given integral choose  √x as the first function and ex as the second function and…

Q: solve for nonbermagnenous dilkeremrial equation . 4x

A:

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: Use integration to solve the differential equations where: dy dx 2xv4x2 + 1 1) y' =

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

Q: - y = sin² (3*)

A: We have to find derivative of given function.

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

A:

Q: Find dy/dx by implicit differentiation. 72 – 5y² = 4 dy/dx =|

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Q: Find / tan- -dx using integration bv parts. TM

A:

Q: sin 6x dx sin23x 4. 6. S Ve3x + e 4x dx ex dx 8. J 1+ e2x

A:

Q: Use integration by parts to evaluate (2x + 1)e2-1dx.

A:

Q: What is the (a). general solution to xydx-(x+2) dy=0? (b) integrate.

A:

Q: Find the integrating factor of dy/dx +2ytanx=sinx

A:

Q: dx 1+e2*

A:

Q: Solve the integration by parts | (x² – 2)cosh(x) dx .

A:

Q: Solve ∫xn ln x dx integration by substitution and by parts?

A: The integration by parts method is used to evaluate the integral of the product of two functions and…

Q: Use integration to find a general solution of the differential equation                dy/dx = sin…

A: given differential equation as dydx= sin 2x or it can be written as dy=sin 2x dx

Q: Integral of sec^4(3x) dx

A: Given ∫sec4(3x)dx

Q: x e* dx

A:

Q: tan

A:

Q: Make Detailed solution TECHNIQUES OF INTEGRATION

A:

Q: | (In x)2 dx Use integration by parts.

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.