Find the solution. 7. (3siny – 5x)dx + 2x2cotydy = 0 hint: let z = siny

Q: 3 3 4 Evaluate the integral S [(?+y?+?)dz dy dx. 0 0 0 3 3 4 S[?÷+²)dz dy dx=O 0 0 0 (Type a…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the approximate value for |- 1 dx using -1 Vx? +1 (a) the trapezoidal rule, with h = 0.2, 0.1.…

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Q: 6. Solve the following DE's using Integrating Factor by Inspection or by applying Table 1. y(y? +…

A: (1) The given differential equation is: yy2+1dx+xy2-1dy=0After simplification,ydx-xdy+y3dx+xy2dy=0…

Q: Q/ Find the generd solution of the differentiol equation y"+3y'=2sin(x)+cos (x) %D

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Q: Identify the first order DE and show the solution for (x-x^3ye^-2y)dy-dx=0

A: Given the differential equation

Q: Consider the following IVP: y"+a?y = 0; y(0) = 1, y'(0) = 0 Find the general solution. A) y(t) = sin…

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Q: Q4) w(x,y)=x siny +x²- (2x²+3y)² find dw

A: We have to find the total derivative

Q: Obtain the general solution using separation of variables. dz = a(cos 0 dz + z sin 0 d0) %3D

A: Separation of variables.

Q: Q3/ Evaluate the integrations: Seax cos (e*) dx. A)

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V3x – 2; from x = 2 to x…

A: Topic - approximation Using derivatives

Q: (b) cos(x² + y²) dy dx where R is the region 9 < x² + y? < 49.

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Q: Let y 5. Find the change in y, Ay when z = 5 and Az = 0.1 Find the differential dy when r = 5 and de…

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Q: Classify the following DE: e* OV Classify the following DE: e*Y dx +3y =x²y Select one: a. Seperable…

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Q: Qi/ IR 1f y = show that ゴースメー 2 Rex) = sinh (2X) Ril Compute R cx) when %3D %3D 4 Cosh Vx 4/ Find ú…

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Q: z= cos y Using the substitutions the DE (3cos y - 5x) dx – 2x?tan y dy=0 reduces to dz= - sin y dy

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Q: Q3 using Euler method, find an approximate value of y corresponding to xe [0 - 0.7], dy Given = x(x…

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Q: PCx g) - Sin (zy)- Cosx'+x*y? %3D find d'f df dye' de dy

A: Given function is  f(x,y) = sin(x,y) - cosx^2 + x^2y^2

Q: (a) Find the differential dy. y = et/4 - Ap (b) Evaluate dy for the given values of x and dx. x - 0,…

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Q: QA1 (a) Given that y = (3+4x²)° +10sin(5x) determine dx dy

A: The solution is given below  Please post separately

Q: Q5. Evaluate the triple integral cos(y²) dz dx dy.

A: The given triple integral is;  Cos(y2), z from 1 to 3, x from 0 to y, y from 0 to sqrt(pi/2).

Q: Use the differential dy to approximate Ay when x changes as indicated. y = V 3x – 2; from x = 2 to x…

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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: general solution DE Xy" +y'+xy=o Find the of on co ∞)

A: The given differential equation xy″ + y′ + xy = 0, known as Bessel’s equation of order zero, has the…

Q: dy i. Find dx of y = x* Гcos @ Isin 0 ii. Let A=| cos e l, Verify A. AT = I

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Q: # 3 Let y tan(3x + 6). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy…

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Q: III 6(x3 + xy²) dv, where E is the solid in the first octant that lies beneath the paraboloid z = 4…

A: Given,       ∬∫E6(x3+xy2)dV,       z=4-x2-y2

Q: Q5. Evaluate the triple integral ²³ cos (y²) dz dx dy.

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Q: Q.2 Evaluate () dx. 2x (i) Using Trapezoidal rule by takingh = 0.2, h = 0.5 & h = 0.25. %3D %3D %3D…

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Q: Advanced Math dy/dx=sin(x)+1 using euler method h=0.01 y(0)=1 y(1)=?

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Q: . Tind the general solution of the given variable separable can ation. O 20oSx dx - 3sinx Siny dy =0…

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Q: sec z dr

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Q: 4. What is the form of y, given (D² + 9)y = x + tanx? p = v¼sinx + v2cosx Yp = vịsin3x + vzcos3x Yp…

A: Given differential equation is of second order differential equation The general solution of DE is…

Q: Find the differential and evaluate for the given a and dæ. sin(5z) 1 * = -T. dx 0.75 %3D dy Preview

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Q: (a) Find the particular solution of dy, 2y cOS I y(T) = 0 dx

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Q: Solue d?3e 2 +4x=5in zt using methoel I Vorintion of parameters .

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Q: ;+ 2リ+y = ハ- cos(t) Slove the D- E t2 with. Ze Vo initial cuudition s En gineer ing Analysis

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Q: 2-r Change the order of integration and hence evaluate dy dx 2 + y?

A: To solve this problem. first find the region of integration by drawing the region and then change…

Q: ii- 2(2 cos y dx – sin y dy) = 0. y(0) (using Integrating Factors) = {) %3D

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V3x – 2; from x = 2 to x…

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Q: H.w:- Solue Lor X= 0.1 fhe L.u.P using Euler p.c method O=-8 Siny y6)= %3D

A: To solve a numerical differential equation, regular methods for the theory of differential equations…

Q: 2. Given the DE as (x² + y² – 3)dx – 2xydy = 0 a) Prove if the given DE is exact or non-exact b)…

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Q: Hond / Find the solution for dhe fllowing = e @ siny d9 = osy(l-xGsy) (2) %3D Siny Cosy x = e de dy…

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Q: 02:- b. find the total differential dz. z = x sin xy + x³

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Q: d²u np + xu = 1 dz Q3. Given dx² du(r 0) = 1. 2 u(x=0) = 1, 0<I<1 dr Employ the Euler method to find…

A: To solve the second order ordinary differential equation by Euler method, convert it into a system…

Q: 6. Solve the following DE's using Integrating Factor by Inspection y(y? + 1)dx + x(y² – 1)dy = 0

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

Q: Q3/ Solue The Following Simul taneous equatron -y + Sin t + Cost %3D dt where x (6) = 1 ,x') =0,…

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Q: 2. Use Runge-Kutta method to solve the IVP dy x +y? y(1) = 2. dx ху Use h=0.2 and approximate y(2).…

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

A: We have convert the given problem into polar coordinates.

Q: h = 0.5 with the Trapezoid Method dx Which of the following is the solution of the integral?

A: The solution is given as

Q: III. EVALUATE THE FF. ITERA •rU/2 ptan y sec y 1. . x' cos ydxdy Jo . cosy sin2x dy dx xp, •3n /2 pn…

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