3. xe' ty dx = xydy

Q: 1. (e)dydx

A: Now we will solve the integral using substitution form.

Q: 6. 3+(e*+3) sin x y tan(x³)-x

A: Solve by differentiation

Q: 1. (4 - y?)dy dx

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

Q: Ɔ) = 1, the solu %D dy + 4 + 4 dx

A:

Q: Integrate by parts: e* cos (12x) dx

A: To find the integrate by parts (e3xcos(12x))dx

Q: 2. e* sin x dx

A: (2). We need to evaluate the following integral  ∫0πexsinxdx

Q: S cos(2x)e2x dx

A: We need to evaluate: ∫cos(2x)e2xdx

Q: General solution of dy=-x dx y+x

A:

Q: solve the DE b

A: The DE is (x-y+2)dx-dy=0or, (x-y+2)dx=dyor,dydx=x-y+2

Q: Find dy/dx of ex-e-x y = - ex+e-x *

A:

Q: 5. Evaluate sin y - dy dx y

A:

Q: dx x- y- dy dx (Separation of variable) dy

A:

Q: 15 determine the value of the constant p where p> 0. (b) Given dx %3D

A:

Q: dy = ( x - 3y)dx

A:

Q: 1 tegral 2-2 dx eq" others

A: We have to choose the correct option according to the given information

Q: dy Find dx if y = cos e*

A:

Q: dy . dx Suppose x and y are variables that satisfy the equation x – y? = 12. What is

A:

Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

A:

Q: 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx Зdу — 4xу dx

A:

Q: dx x-y dy dx (Separation of variable) %3D dy

A: To find :- General solution of given differential equation Given :-

Q: dx √ex +1 S=

A:

Q: For which value of a the equation dz dy dx =1 -1

A:

Q: 12. Solve the following first-order equations: dy а. = 4x/y, with y(0) = 1 %3D dx

A:

Q: 2. S 2e* tanh e* dx

A: A detailed solution is given below.

Q: 2. ye* dx + e*dy = 0

A:

Q: If we solve the DE y dx + 2 x dy 0 alter converting it to Exad using an

A:

Q: dy 1.- dx ах — by bx — су

A:

Q: Find dy/dx of y=1/ (tan-1 x)

A: The given function is: y=1tan-1x

Q: 1) S“(cosx)" dx. 2) Г(-4). 3) В (10,9) 4) Sº x° e-2* dx Ja-x)i 5) o

A:

Q: Given fe""dx = --e"3* Given [el-2)dx =--e"-2*) +c. Su;

A: Taking substirution method we have

Q: 10. use "Bernoull's Equation" method dy -y= ey! dx

A: The given problem is to solve the Ordinary differential equation using Bernoulli equation method, we…

Q: y=x√3-2x³

A:

Q: 6 e + ex e dx et - 1

A: You have posted multiple questions.As per our policies , solving first question. Please ask the…

Q: The numerical value of xe dx is

A: Use Integration by parts

Q: the different dy - 2 dx

A:

Q: (b) Solve the following initial vahue problem by separation of variable = 2x at x = 0, y=-2 dx

A: We will solve the problem

Q: 1. (5x + 4y) dx + (4x – 8y³) dy = -

A:

Q: 1 dy 3 x*y3 y 4 dx

A: Given that    dy/dx -(3/x)y = x4y1/3  Here we have to solve the given differential equation.

Q: For which value of a the equation dz dy dx =2 -1 does hold?

A: The constant rule of integration and the power rule of integration are given by and, respectively,…

Q: dy y sin x y(0) = 1. dx 1+ 8y4'

A:

Q: dy 2ху+ бх + (х? — 4) dx Solve

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Q: (b) 6x Cos dx. (Hint: you might need to use integration by parts several times.

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Q: Calculate dy dx.

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Q: Solve dy dy dx

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Q: I = Si S (x² + y³) dy dx.

A: