0. ° (x? + x) dx -2

Q: Question 4 -e-*) dx Evaluate: A '+C 2 B cosh x +C sinh x +C D – sinh x +C E None (F -cosh x +C 2

A:

Q: QUESTION 3 dy = 2x+1. dx a) Find y at point (2,2), if

A:

Q: Solve the following exact equations: 1) (сos 2y — 3x*y*dx + (сos2y — 2xsin 2y -2x'y)dy %3Dо 2) (2ху-…

A:

Q: use two and three points of Gaussian-Quadrature method to Find 1 = e" e(1+sinx) dx

A:

Q: x³Væ² + 1 dx

A: Solve the integration

Q: tan 0 d 30. dO sec² y dy

A:

Q: If z = x sin y + y sin x a2z then дхду

A:

Q: Problem No. 1: Evaluate - dx using basic substitution method.

A: First I have used the substitution to make integral easy and then evaluate it.

Q: If cos(4x – y) = x+y, then dx A -1 - sin(4x – y) 2+4 sin(4x-y) (B) sin(4x-y) 1 1+sin(4x-y) C) 1+4…

A:

Q: Find the general solution to y" +y = x sinx

A: We are given second order non homogeneous linear differential equation with constant coefficients.…

Q: Obtain the general solution to the equation dy dr 2+x COS x, y(0) = 2. 5.

A:

Q: dy 2y ! = -x² y² sec²x %3D dx +

A: Using solution of Bernoulli Differential equation.

Q: Find the General and Particular solution of = 8 sin 4x ; y = 6 when x = 0 %3D dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Sect sec't dt Tari'la)

A:

Q: Question 10 If y = xin x, find dy %3D dx2

A: Answer and explanation is given below..

Q: y = cos(2x), y = sin x, 0<x< 2

A: Solution is given below:

Q: The general solution of the D.E. dy/dx + y cotx = 1 is a. y -cotx + c sin x b. y = -tanx + C CSC X…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: x fare cos = dx 2

A: Indefinite Integration

Q: T c •sinx, S* San* (1 + cosx)dydx 0, 0.

A: Given: The integration ∫0π∫0sinx1+cosxdydx To determine: The value of given integral.

Q: If dy/dx=sin(x)cos2(x)dx and y(pi/2)=0, whats the value of y(0)?

A: I am going to solve the given problem by integrating the given differential and by substituting the…

Q: 3. If y = (5x)sin(3x), then dy dx ||

A: Given the function y = f(x)

Q: 1. § e sin 4x cos 4x dx 2.5 dx Se-2x dx %3D

A: 1) Given:                ∫esin 4x cos 4x dx Apply u-substitution: u=sin 4x⇒du=4 cos 4x dx…

Q: 33. tan- (z²y) = x + xy°

A:

Q: 25 a²y(cos(Tz) +2) dæ dy dz

A:

Q: 2. 2x5 = y(3x* + y²) %3D dx

A:

Q: 1. Use a substitution to find (6a2 + 2)e*+# dx showing working.

A:

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

A:

Q: Question 02: Solve with suitable condition d'y dx - = 0, where y(0)=2, y'(0) = 3, y" (0) =4, y" (0)…

A:

Q: Find if y%3D cos (2x)+ 2еж: dx dy

A:

Q: 2:Solve: cos (x+ y) dy = dx %3D

A:

Q: problem 1 and problem 2

A: To find the function y =y(x) from the given differential equation satisfying the initial condition

Q: Use the reduction formulas from problem #2, to integrate the following: a) | cos* (3x) dx

A:

Q: If x u(u – 1)2 and y = (3u - 1)², then what is the value of dy/dx

A:

Q: INTEGRATE BY PARTS /4 2. Sa* x sin 2x dx

A: The given integral,       ∫0π4x sin2x dx

Q: 7T, 0 cos( {*) cos(2y)dx 2gin( gx) sin (2) dy 77

A:

Q: 5. Evaluate r'sin(y³) dy dx

A:

Q: Ev 2 x 2 [x²z dx - yx² dy + 2 dz along the curve C'shown in the figure. AZ 2

A:

Q: 5 Find *: (a) y = cos(11x + 2x) dy

A:

Q: Find the solution to the Bernoulli Equation. (3siny-5x) dx + 2x² cotydy=0

A:

Q: Problem 19  Assuming B=/ 0, compute ∫((Asqrt((x^2)-(B^2))/x)dx in terms of A and B.…

A: To evaluate:

Q: Solve the given problem below: (2x + y cos x) dx +sinx dy=0

A: We will solve it by exact differential equations method.

Q: Find the general solution of the equation cos x cos y dy – sin x sin y dx = 0

A:

Q: 8. (sin°(5y)dy

A:

Q: y = cos 3x a. 3 sin 3x b. - sin 3x c. sin 3x d. -3 sin 3x с.

A:

Q: @2) find to dx 2. y=CoS 2' Sin e

A: To find the dy/dx of the given function

Q: find the general solution of dy/dx + y = 2 sin x.

A: Now comparing with Now integrating factor is,

Q: Question 12 of 12 fe #0. dz and ye-8 sin 4z = 4z %3D dz dx dz dy II

A: The objective is to find the partial derivatives.