x sin x dx = kr, then the value of k is equal to

Q: The value of | sin(x + y) dx dy is

A: We will use the fact that  sin(x+y)=sinx cosy +cosx siny to evaluate the given integral.

Q: Given y = xva² – x² + a² sin¬1 (A. dx

A:

Q: 2x-1 Q:If y =f| and f'(x) = sin x, find x* +1 dx

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Q: e* + sin x = 2/xy , find y' %3D

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Q: dx sin x cos x

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Q: Determine the particular solution to dy/dx= 2 sin x, y(pi)=-2

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Q: 2. e* sin x dx

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

Q: T/2 e2x sin x dx

A:

Q: With our choice that dv = sin(Ttx) dx, then v = sin(TTx) dx, which can be calculated using the…

A: The given equation is,

Q: Given: x = 0 – sin 0; y = 1– cos 0 d'y Find: dx?

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Q: Given: x = 0 – sin 0; y= 1 – cos 0 d'y Find: da?

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Q: B) / Solve the Following Equations: (x+y) sin y dx+(x sin y+ cos y) dy =0

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Q: d Given h(x) = = cos (sin (x)). Find dx

A: Given : hx = cossinx

Q: e. y =x' sin (x² +5)

A:

Q: For an equation y - y sin t = 0, find the particular solution for y, given that y(n) = 1. (a)

A: Solve it by using the separation of variables.

Q: 15. S Vx sin?x³/2 dx.

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Q: Find if dy y = e2 sin x Choose the correct answer.

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Q: solve for y in terms of t or x, as appropriate.

A: Solve for y in terms of x :     lny2-1-lny+1=lnsinx

Q: dy cos?x = -(tan x)y ;y(0) = -1 b) Solve %3D dx

A: Given that: dydx-cos2x=-(tanx)y; y(0)=-1

Q: If 8 (x) = | sinx dx and g |=3, then g (o) is equal to A -2 B D 4 2. 1.

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Q: dy Solve the DE. x +x = sin (x + y) dx

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Q: Find the general solution of the following equations? 1- x2 + sinx – y = 0 dx

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Q: 4. Solve for ſ e* sin x dx in the equation S e* sin x dx = e* sin x + e* cos x - Se* sin x dx + c.

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Q: solve for y'. y=sin-1[(ax+b)/(bx+a)]

A: Sin-1x can be written as asin(X)   So we have expression as y=sin-1(ax+b)(bx+a) We have to solve for…

Q: Find f(x) in the equation y sin x + y f(x) = 0, then solve for the general solution of the resulting…

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Q: If x = t +cos t, y= sin t, find d^2/dx^2

A: Given that      x=t+cost , y=sint  Here we have to find d2y/dx2 .

Q: solve for y, In - y| +C = (1n|cos(x) – 1| +c)

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Q: Solve for this equation, show your solution for the exact DE. (Non-anonymous question) 3x(xy - 2)dx…

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Q: t/2 Find the value of sin(2x) sin(x) dx.

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Q: dy y cos x+sin y +y Solve the following 1. dx 0. %D sin x+x cos y+x differntail equation

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Q: P(sin x + (10)) dx = where P is a constant and P#0

A: Given,∫-π2π2Psin x+10dxwhere P is a constant and P≠0

Q: Given the equation x -4yf (x) + sin(y) + 1. Take the derivative for both sides of the equation with…

A: Given the function x3=-4yf(x)+sin(y)+1. We need to find the derivative on both side with respect to…

Q: (c) [ e sin(x²) dx < e –1. Show that

A: Solution of question as follows

Q: 35. x dx + Ja? - x² dy = 0. ,2

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Q: dy for y = 4 sin-1(x²). dx 2 (c): Find

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Q: If y = (sin¬1 x)², show that dy (1 – x²) da? dy = 2. dr

A: y=(sin-1x)2 we have to show  (1-x2)d2ydx2-xdydx=2

Q: We have d t sin x dt = x sin x. dx (For this problem you need to either give the proof or give the…

A: The given statement is: ddx∫0xt sin x dt=x sin x

Q: x sin(ax) dx, (a # 0)

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Q: e of y = -3 sin x + 5? (I Vミー

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Q: The value of | sin(x + y) dx dy is 0 0

A: To evaluate the below integral. ∫0π/2∫0πsinx+ydx dy

Q: T/2 ( 4 cos (x) sin° (x) dx

A: To evaluate the integral ∫0π24 cos2(x)sin3(x) dx We know that, cos2(x)=1+cos2x2sin3(x)=3sinx-sin3x4…

Q: The value of sin(x + y) dx dy is 0 0

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Q: Given: = 0 – sin 0; y=1– cose Find: dz2

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Q: dy |=x+y. dx Solve: sin

A: Using method of equation reducible to variable separable method.

Q: Given xy' + 3y = sin x %3D find the general solution. x2

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Q: dy 6. For parts (a) and (b) of this question, find Simplify your answer. dx (a) y = e® Inx

A: Derivative: y=tanx1-cosxddx(uv)=v.ddx(u)-u.ddx(v)v2

Q: Find the general solution (implicit explicit) to the following equation. or et y" – 2y' + 2y =…

A: We have to find the general solution of the differential equation y''-2y'+2y=exsinx.

Q: If g(x) = | sinx dx and g |=3, then g (0) is equal to 2 A -2 B 4 D 2.

A: We can solve this as follows:

Q: (g) et +1 dx (n) dx sin x

A:

Q: J ? x sin 2x dk

A: This integral can be solved by the method of integration by parts which is given by