Upon multiplication by -3x-4 and using the substitution Z= X¯³, dz= - 3x-4dx, the Bernoulli's DE dx - x cot y= xªcsc²y reduces to dy A + 3zcot y = - 3csc?y dy dz B 3zcot y = 3csc²y dy dz + 3zcot y = 3csc?y dy dz 3zcot y = - 3csc?y dy B.

Q: dy +P(x)y = Q(x)y". dx Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other…

A: We have to solve

Q: Which of the following is an exact DE? A. (x² + 1)dx - xydy = 0 B. xdy + (3x - 2y)dx = 0 C. 2xydx…

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Q: lassify the following DE: e^x dy\ dx +3y=x²y Select one: a. Both seperable and linear b. Linear…

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Q: 5. Test the exactness and evaluate the DE. (ху? + у — х)dx — x(-ху— 1)dy x²y² + 2xy – x² = C 2x²y? +…

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Q: dy 4xy+5y2 The DE: dx can be transformed into a seperable DE xy +3x? in x and z by using the…

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Q: Show if the following statement is true or false. If it is true, write TRUE. If it is false, write…

A: A first-order differential equation (of one variable) is called exact, or an exact differential, if…

Q: Find and dm dk at m=k=1 Note: P=x? y + y? z + x² z x=m+k, y= m-k, z= m k (dP/dm)=1 and (dP/dk)=1 O…

A: Given, the function                                 P=x2y+y2z+x2z, where x=m+k, y=m-k, and z=mk then…

Q: Which of the following equations is a variable separable DE? O a. 2y dx = (x² + 1) dy O b. y? dx +…

A: Using differential equations,

Q: dy _ 4xy+5y² The DE: dx can be transformed into a seperable DE xy +3x2 in x and z by using the…

A: This question is related to differential equations, we will use the given information in question to…

Q: Which of the following is an exact DE? A none of the given choices (4x²– y²) dx + x(x- 2y)dy=0 B c)…

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Q: 4. dx + 2x = 2 x²y²dy %3D

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Q: When reduced to a linear DE of order one in z, the Bernoulli's equation dy 2 +y √( 1 ) = 3x²y² =…

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Q: Select all the functions that solution of y"-y%=D0 are D A. y= e O Biy = e A C, y = x O D. y = COS…

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Q: Upon multiplication by -3x¯* and using the substitution z = x¯³, dz = - 3x-ªdx, the Bernoulli's DE…

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Q: Differentiate the following implicit equation for y(x) with respect to x: x* + a?y? – y4 = 4 2.2 %3D…

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Q: Given : 6x³e** +3 dx. Using integration by parts (S udv = uv - f vdu) and letting u = f(x), dv =…

A: Given,           ∫6x3ex2+3dx

Q: The point of intersection when the coefficients of dx & dy are equated to zero of the given DE:…

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Q: Show if the following statement is true or false. If it is true, write TRUE. If it is false, write…

A: As per our guidelines, I can answer maximum three subparts of a question. To know rest, please…

Q: Given: re + In(x - y) xe*? Find dy/dx. 2ry(z=y)+z* 1+(z=v}(2»² +1)e| dy dr 2r(z-y)-z1z…

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Q: Which of the following equations is an exact DE? A (x²+1) dx - xy dy = 0 (B) x dy + (3x-2y) dx = 0…

A: Exact and non exact differential equations

Q: 1. Use the Modified Euler's method to find y when x = dy 0.1 to 0.2 given that = √√x + y for y(0) =…

A: Modified Euler's method uses the formula: ym+1=ym+hf(xm+12h,ym+12hf(xm,ym)) to perform the…

Q: The point of intersection when the coefficients of dx & dy are equated to zero of the given DE:…

A: Here I am attaching image so that you understand each and every step.

Q: Given that y = 7 ln u and u = 6x? dy Use the formula dx dy in terms of x. dx dy du to find dz du

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Q: Compute (a) Ay and (b) dy for the given values of z and dx = Az. y = 4/x, I = 1, Ax = 1 (a) Ay = (b)…

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Q: Which of the following is a Bernoulli's Equation? y^2 dx + (3xy + y^2 - 1) dy = 0 y (x^3 x^xy) dx…

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Q: dy +y When reduced to a linear DE of order one in z, the Bernoulli's equation |=3x?y? becomes dz (A…

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Q: Classify each of the following equations as to order and degree. dy + (ху — сos x)dx %3D 0 d²Q + R…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: Transform xydy = y? dx + ydy into a separation variable form. O (x – 1) dæ ydy = 0 - - de dy %3D a-1…

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Q: Given the set of equations y = u°e", u = Ve* + x¢ Which of the following is dy/dx? The answer does…

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Q: dx Reduce the given DE into Bernoulli's equation: = 3x³y² dy x-3 dr dy x-3 dr dy 3y2 3y? y x-3 dy =…

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Q: - 2xy²e*² + 6x²e* \dx + (In x – 2ye*²+ 2x³e" – 3 cor'y) dy=0 Find the general solution to the exact…

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Q: Which of the following equation is a variable separable DE? a. (x + x^2y) dy = (2x + xy^2) dx b. (x…

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Q: The value of fox² dx could be approximated by using Trapezoidal Rule with n = 3. Find the values of…

A: The value of the integration

Q: Using the substitution *=vy, dx=vdy + ydv the DE (1+2e*ly) dx+ 2e*/ (1--) dy=0 y reduces to the…

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Q: *?Which of the following equations Is an exact differentlal equation (x² + 1) dx – xydy = 0 2xydx +…

A: We have to choose correct options.

Q: Given; S √ √ tex. dx 2 Applying rationalizing substitution, find dx in terms o 2 z dz A z²+2 z dz B…

A: Given query is to find dx in terms of z.

Q: az or and as dz az Using the given information, determine dt 3. at az = 2 ax az dx dy =1, ду (a) 4…

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Q: dy =cos (x- y), use the substitutions dx To solve the DE (А) z= cos x- cos y; dz= - sin x dx + sin y…

A: topic - differential equation answer  option C  z= x-y ; dz=dx-dy

Q: dy in term of x and y if Find dx (a) y +6x=x² (b) y-cos y=x+sinx (c) x² +4xy+3y² =3 %3D (d) 3y…

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Q: A ladder is 10 m long and leans against a vertical wall. The ladder then begins to slide down the…

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Q: Classify the following DE: e+3y=x²y dy + 3y=x?y dx Select one: a. Seperable and not linear b. Both…

A: We have to check

Q: Upon multiplication by -3x-" and using the substitution 2= x-³, dz = - 3x~4dx, the Bernoulli's DE dx…

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Q: Given: xe + In(x - y) = . Find dy/dx. %3D O dy 2ry(x-y)e+x+a*(z-y)(2a+1) da r +z? (x+y)e? 2a…

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Q: Given dy = yx + e*y, y(0) = 1, h = 0.5 dx By using Euler's method, the value of y(0.5) is most…

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Q: dx (a) If x? + y? 15, find when y is positive and x = 0. dt = 100 and- - dt dy dt (b) If x? + y? =…

A: we have to find the following

Q: a. Find of the following. dx 6. x = Vy3 + 3y 3y+2y2 7. x = 2-y2 8. x = 2u3 – 3u? and y = u³ – 3u и…

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Q: When reduced to a linear DE of order one in z, the Bernoulli's equation dy + y dx 1 = = 3x?y?…

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Q: Obtain the general solution for the di fferential equation X- Y %3D 2.(yd -x² )dy = 2xy dx 3:) ry dk…

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Q: Which of the following is an exact DE? A none of the given choices B) csc (x²+1) y' – xcosy dy=0…

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Q: Which of the following equations is a homogenous DE? O (xy? + x)dx + (x²y- y)dy=D0 O (x- y)dx+ (3x+…

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