Variable Separable and Homogenoue D.E -x + x? - x - Sin? dy (3x-4x? - っ) cosydx

Q: Disseuss po sibility af existence of Saludion for ucx)=sinlox+25 x² k(4,t)ult)dt マラスラの sin(2-) Find…

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Q: EXERCISI 1. Use the appropriate trigonometric substitution to evaluate the following integrals. 3x…

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Q: Derivatives: using (4 step rule). 1. q(t)=10 + 5t – 1? 2. s(x)= 3-x ,2 4. f(x)=sin3xcos 3x 5.…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: x + y x - y cosh Show that sinh x + sinh y = 2 sinh

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Q: Using separation of variables find a one parameter family of s dy 8x² + 3 -2x e dx xy tions of the…

A: Solution

Q: separation of variables and evaluate the DE cosx/dx+1/ydy=0

A: The given DE is: cos xdx+1y dy=0

Q: 2y" + 3y' +y = +3 sint

A: To find the solution of given differential equation  by using the undetermined coefficient method…

Q: Exact Differe ntial Equation: x(3xy – 4y +6 kdx + (x² – 6x²y² -1\ty=0

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Q: dy - x = x2 siny dx 3 -2 =-(-siny +cosy + Ce-y/?)*? ANSWER: x = + cosy + Ce

A: We will find out the required solution. Kindly note that there is misprints in question which has…

Q: 3. . хр x*dx V(x2-9)3

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Q: undetermint coedticients 11 ON-4y = G²-3) sin x

A: The given problem is to solve the given non homogeneous differential equation using method of…

Q: f ''(x) = x3 + sinh(x),    f(0) = 3,    f(2) = 4.6 Find f(x)

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Q: sinx c. Evaluate the integral dx 1-cosx using Karl Weierstrass substitution. |2x-1 x+7 x+ 4| d.…

A: Given Data The integral is . The matrix is:     (c) Let, 1-cos x=u   Differentiate the above…

Q: 1. x sin y-y cos x = C

A: Topic - differential equations

Q: OSycosy y dy Sin COS (y 3(-cos(y)+ 3, ANSWER: 3 y sin (y) 3. хе dx ANSWER.: - c *…

A: Please see the answer below

Q: 3. Vsin x+1 cos.xdx

A: Solution

Q: Test for homogeneity 3. f(x, y) = tanx - sec²x - cosy 4. f(x, y): x²+3xy

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Q: 3. Approximate value of the root of the given equation f(x) = – 3x + 5x + 14x between 2 and 3 within…

A: The given problem is to find the approximate root using secant method in between 2 and 3 with Ea=0.…

Q: Reduction formulas Use integration by parts to derive the following reduction formulas.

A: We have to use integration by parts to derive the reduction formula:…

Q: sin(6a°y³) =? lim a,y)→(0,0) xl12 + y4

A: If we put (0, 0) along the line y = m x3 , then,

Q: f(x) = { 2x³ x < cos x x ≥ SINEIN 2 2

A: f(x)=2x3x&lt;π2cosxx≥π2 We know Lfx=∫0∞fxe-sxdx

Q: rms of Q. at the value of P is halved wher x+1)². When x = 4, y = 100. %3D rms of x. of y when x =…

A: Variation: a) y∞(x+1)2 y=k(x+1)2 Where k is variation constant.this is the relation between x and y.

Q: 7. Integrating Factors Found by Inspection: Solve the equation ydx + (x + x³y² ) dy = 0

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Q: Q2/1 x = 0; pi/100 : 2 Pi; Y₁ = Sin(x) 2. Sin (X-0.25); 83 Sin (X-0.5); ун Y₁ = Cos (x); plot the X…

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Q: salvepE tany= Sin(2 +y) +Sin(x-y) (ans. secy= C-2 Casx)

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Q: = sin? (esint) l(x) = tanh-1 x + In v1- x2 2 h(t) + cos + cos¯ -1(2t3 - 5) |

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Q: 4. S; (1+x)2 Let Vx = tan 0

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Q: Mic differentiation to Find der :Vative Of Y «in(x+7) x+7)* (In(x+7) + X. X-1 H7)* (x+7) t x+7

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Q: (3 sinx-sin³. 9. lim x3 А. О В. 1/4 С.4 D. DNE

A: We will find the limit

Q: rpression in r, for x > 0 /9 - x2 5. CSC arctan PACE

A: Let theta = arctan(sqrt(9-x^2)/x)Form there find tan theta

Q: Test for homogeneity of the following and state the degree of homogeneity: 2. XZ f(x, y) = sin -3z

A: Given,   To Test f(x,y)=sinxzy-3zfor homogeneity and also degree of homogeneity

Q: solving (2 x sinxy+x^2 ycos xy ) dx + X^3 cos x y dy = 0

A: given the expression is ; [xsin(xy)+x2ycos(xy) ] dx + x3cos(xy) dy =0

Q: implicit di}ferentiation to find dyx Use -x+ tanny=0 -y = %3D I + tan n

A: Find dy/dx of the given equations

Q: CO SK= Sin X CoS X イメそ2 X= 2anctgt Sin X+ CosX dx= dt 5inイミ イet? ュラナと 2t と? イ2 2dそ (て ーそス 2そ+イーそ?…

A: The function is, ∫sinxcosxsinx+cosxdx

Q: sinh x – cosh x + ecoth r sinh? x - dx

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Q: Separation of Variable (cos³ x- sin x +sin² x kdx +sin x sin y(1– sin x )dy = 0

A: Trhjr

Q: f ''(x) = x3 + sinh(x),    f(0) = 2,    f(2) = 3.6

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Q: e*sin³ (=) e*sin³ 3 (t 3 x23 sech (x-2) xº sech (x-2) F (x) = S f(x), if x 2

A: Given that  gx=exsin3πxx2sechx-23if x≤20if x&gt;2 Find the left hand limit of the function at x=2.…

Q: [sin(Inx7)]²dx_ Which of the following is equivalent to "sin(Inx14) dx (A "sin²(Inx14) dx B ©…

A: SOLUTION-

Q: sin(2x3 +3y³) If f(x,y)= 5744x2+2872y2 (x,y)# (0,0) then (x,y)=(0,0) fx(0,0)= f,(0,0)=

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Q: cos x v9 + 25 sin² x dx

A: Using trigonometric substitution

Q: x(1-x')y = x' + y-2xy? ソ=

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Q: 1. Siste dx It sex x

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: sin x+1 Soru 4. I = -dx integralini hesaplayınız. (20Puan) cos x+1

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Q: 14 Approximate (x - 5) dx using 4 rectangles. It is approximatiey. (If necessary, round to two…

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Q: 1. %3D X sin y - y cos x = C

A: We differentiate the equation and get:

Q: Exact Equation Solution of (2xy -tany) dx + (x^2 - xsec^2 y) dy =0 Answer: x^2y−xtany=c

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Q: FINO THE PARTICUCAR SOUTUON OF THE DIFFERE NTIAL EQUATION -スx =e + hx t子x-9 dx² -2x dy e AT X=0,9=0…

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Q: S(sec z tanr- 7x*)dr =. O tan z + x+c sec z +x7 +c sec a- ' + c O- sec a -x' +c sec z + x'+ c

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Q: sin 0 d) lime tan 0 sin z-cos z + 1 e) lim, 0 3z

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