d?x dx + 4 + 5x – 10 = 0, when t = 0,x = 0,x = 0 %D | dt2 dt

Q: Find dy/dt using the given values  xy = 5 for x = 10, dx/dt = −2

A: Given,xy = 5  ,  for x = 10 , dxdt=-2

Q: 10. Find * 10 S° S? er dx dy •5 2e25 + 1 S + 1 e25 + 1 e25 – 1 O e25 - 1

A: We will find given integral by changing order of integration. we will use following integration…

Q: dx 3/2 ca

A:

Q: 3. If 2 = x² – x* + 6x – 5, then dty evaluated at x = 1 is dx4 dx (А) 8 (B) 36 (C) 96 (D) 120

A: To calculate the nth derivative of function y, differentiate y four times with respect to…

Q: Solve the initial value problem dy (x? + 4) + 3xy = x, y(0) = 1. dx %3D

A: Consider the initial value problem x2+4dydx+3xy=x,      y(0)=1

Q: d?x ax dx ÷+ 9x = 0, when x(0) = 1 and (0) = 0 dt2 dt dt

A:

Q: dx Given dt 1 and y = 6. Find for x2 + y² = 100 dt O A. 3 4 O B. 3 4 3

A:

Q: a- If w = x² + 2xy and x, y change from initial values (x = 1, y = 3) By amounts dx = 0.01 and dy =…

A: Given: w=x2+2xy So, dw=2x dx+2y dx+x dy...(1)

Q: dN K-N N K dt max

A: Solve

Q: Solve the following differantial equation using finite difference method. d²x(1) + x(t) = 0 dt? dx…

A:

Q: d Q. * VE In(t)dt equals dx a. 4x³ (ln x) – 2 In(2) b. 4x³ (In x) – v2 ln(2) c.4x° (In x) d. 16x°…

A: Using leibniz integral rule -…

Q: 3X An integrating factor for the DE dy + ydx = e³*dx 5 O ey O y O ex O x?

A: For a differential equation of the form, , the integrating factor is defined by .

Q: dy 3; find dt dx when x = 2. dt Related Rates: Given y = x³ – 2x and %3D

A: As we know that; The Power Law: ddxxn=nxn-1 From the given problem: y=x3-2x ; dydt=3 First, we have…

Q: A. Integration by parts o (3t + t*) sin(2t) dt

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: d Q. S Vt In(t)dt equals dx a. 4x³ (In x) – /2 ln(2) b. 4x5 (ln x) – /2 ln(2) c.4x³ (ln x) d. 16x°…

A:

Q: d Q. Vi In(t)dt equals dx a.36x (In x) – V2 In(2) b. V6 In(x°) – V36 In(36) c. 6x2 (ln x) d.36x7 (In…

A: We have to solve the differentiation under integral sign which is ddx∫3x6t3lntdt. Let Fx,…

Q: ) L -dx (x² + 1)²(x² + 2x + 2)` sen? t dt, for 0 <b< a. a+b cost

A:

Q: Solve f(x) Sin e* (4 nodes) Using Gaussian Integration (Numerical Methods) [ f(x) dx

A: Given function is f(x)=sinex We have to calculate ∫-11sin(ex)dx Formula for 4-point gauss quadrature…

Q: sinh x d Find dx 1 dt t2 + 1

A: We will apply Leibnitz theorem to solve it

Q: The integrating factor of the given DE are already given below. What is the value of "n" y(y²-x-6)dx…

A:

Q: d Q. S* VE In(t)dt equals dx a. 4x° (In x) – V2 In(2) b. 4r³ (In x) – V2 ln(2) c.4x³ (In æ) d. 16x°…

A:

Q: S(1) = [ L. dx dy Find d d/dt f(t). Hint: Try switching the order of integration.

A:

Q: By using method of elimination find x(1)+ y(1)=? for given: dx = 3x – y dt x(0)=1 & Recommended time…

A:

Q: e dx (1) S. 1-e2x (integration by substiution)

A:

Q: If L= x + y dx dt and dy =3 dt what is dL dt when x=5 and y=12 Provide your answer as a decimal,…

A:

Q: Evaluate xe-2a dx {Hint: Integration by parts} Oe-2r (플 + 1) + C O-e-20 (플-1) +C O-e-a (블 + 4)+ C…

A:

Q: dy Зу (x + 1)+ dx x+1 2.

A: First i i have find the integrating factor and the general solution.

Q: Find the general solution of (x +1)3d²y dx? 1TE + 3(x + 1)² + (x+ 1)y = 6 ln(x +1). dy dx

A:

Q: Find a positive constant that satisfies the equation: ∫(1/x²+a²)dx=1    integration limits: [ 0,…

A: Consider the equation ∫0∞1x2+a2dx=1 We have to find the value of a Use integral formula…

Q: 5) [xe*dx (Use Integration by Parts) 6) If [g(x)dx = (8x“ + 2)* +C, find g(x).

A: We will use integral by parts to solve the first given question and differentiation to solve the…

Q: Integrate تلد ا - تم( فیگ S (a² – v²) * 22)* dv where " a" is constant

A:

Q: dy _ 2y = x-'y¯1 y(1)= 3 dx

A:

Q: 2. Evaluate the integral. -2 (a) (x² – 3x) dx - -1 •3 (b) Lce L(e + 2)(t – 3) dt -2 (c) 2.9 x° dx

A:

Q: 24 Change the order of integration and evaluate dx dy. y²

A:

Q: Find an integrating factor and solve: (xy + 1)dx + x(x + 4y – 2)dy = 0

A: This question is related to differetial equations, We will solve it using given information.

Q: Evaluate 2xz dV where E = {(x, y, z) | 2 < x < 4, x <y < 2x, 0 < z < x + 3y} . E Round your answer…

A:

Q: Q5; Use three iteration of Picard's method to solve dy = 3x+ y when x=0.1, given that y 1 dx for…

A:

Q: Q#2: Find the Numerical Integration of Jo xe2*dx with 1 step size.

A:

Q: Q3)-(A) Solve the following simultaneous equations: dx 4t +x-y= cos(5) dt Int dx t -x +t == Int dt…

A:

Q: (B.) L ( ³x ++ -cost} { +4- dt 3 dx dt Where: x(0) = x '(o)=6 and x" (0) = 2

A:

Q: Find the value of k for which the constant function x(t) = k is a solution of the differential dx +…

A:

Q: -8 dx c – 2)(x² + 4) an upper-case "C" for the constant of integration.

A: We use partial fraction to find integral

Q: dx (b) (t– 2) – x = (t – 2)' , x(4)=10 dt dx (c) +5x -t = e" , x(0)= dt

A: Here we have to solve given initial value problem b and c.

Q: dy dx Suppose x and y are functions of a third variable t. If 2sin(x) + 4cos(y) =3 and dt -3, what…

A:

Q: OBTAIN THE GENERAL SOLUTION 2. dx: t (1+e?) see" x dt 3. x dx - Ja - x² dy =0

A:

Q: dx Given y= e-2x? dy when X = 1 and dt 2. Determine the value of dt

A:

Q: related rates - find dx/dt where x2 +xy - y2 = 20. dy/dt = 5 and x = 4

A: x2 +xy - y2 = 20Diferentiate both sides with resepct to t. While differentiating recall the:Chain…

Q: Trapezoidal (Use n = 9) 3 5. S¹ (5√x-³) dx √x 6. √² (5ex - e)dx

A:

Q: d Q. S Vē In(t)dt equals dx a. 4x° (In x) – V2 In(2) b. 4x° (In x) – V2 In(2) c.4x³ (In x) d. 16x°…

A: Note:  " Since you posted multiple question. We are supposed to solve one for you. For next question…

Q: d If g(x) == _S^*[e' − In(2t+1)]dt, find g ''(x) . - dx -2 2 A (2x + 1)² 4 B (2x + 1)² 4 (2x+1)2…

A: