The Particular Integral of the differential equation (D³ + 10D² + 7)y= 8x is PI = 7 8x 8x+x-3 O PI = 82² %3D 8x O PI = 7 PI = 8x+a° 7

Q: The order of the differential equation d (D®y + D® sin æ) = sin æ dx O 5 6 O 7 O 4

A: In this question we have to find order of differential equation.

Q: Solve the differential equation by using the separable equation method 2 dx -sin 2t = 3 7 dt

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Q: Solve the differential equation: dy + (2x – 7)y dx 8x9

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Q: the differential equation of the gi u= A(sec4t)1+ B(csc4t)1 2x3 12 12-C

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Q: The general solution of the differential equation dz +6y sin 4z is

A: We need to solve the differential equation d2ydx2+6y=sin 4x The solution of this differential…

Q: Evaluate the general Solution to the differential equation: Cy-cos-x)dx+ cosxody A y(secx + tan x) t…

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Q: solve the following first-order differential equations by first finding the integrating factor:…

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Q: Solution to this differential equation: (y2-3y-x)dx + (2y-3)dy + 0

A: the given differential equation is the first order linear differential equation.we will solve this…

Q: Do the functions y1 = cos81 and y, = sin8t constitute a fundamental set of solutions of the…

A: Given a 2nd order linear differential equation y"+16y=0---1   We know that for the differential…

Q: Determine the order and degree of the differential equation: 2x dʻy/dx+5x²(dy/dx)³-xy=D0

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Q: The complementary function(C.F.) of the differential equation(D- 4) y = cos 4r is O (Ci +c21+ czz2)e…

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Q: Solve the differential equation with subs equation : S y(s) = (s+2)² +1 O e?"(cos t – 2 sin t) O e2"…

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Q: Find the integrating factor of the non-exact differential equation : (3x²y+6xy+y³) dx+3(x²+y²) dy=0

A: Given a differential equation, 3x2y+6xy+y3dx+3x2+y2dy=0. To find the integrating factor of the given…

Q: dy dx = x+1 2(y+3)

A: The given differential equation is dydx=-x+12y+3. Solve the given differential equation. Here we use…

Q: Solve the differential equation by using an integrating factor:y/+9y = x³e-9x Oxe-9 + C x²4e-9x +…

A: The given problem is to solve the given differential equation by using integrating factor. Given…

Q: a. Evaluate S dx α x2+βx+13

A: Given- ∫xαx2+βx+13dx To find- The value of the above integral. Identity Used- ∫1a2+x2=1atan-1xa and…

Q: ar integral of the c 3 – 7D2 + 7D – 2

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Q: y(s) = (s+2)² +1 e2" (cos t - 2 sin t) -2t e" (cost – 2 sin t) A.) B.) e-2"(cos t + 2 sin t) e2"…

A: Correct ans is option A

Q: Solve the initial value problem. (cosx)(dy/dx)+ysinx=6xcos2x, y(pi/3)=(-4pi2/3)

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Q: Use order reduction to find the solution of the differential equation. 4x²y"+y= 0; y, = x² In x 1/2

A: Let y1(x) be non-trivial solution of differential equation y''+p(x)y'+q(x)y=0 and let…

Q: ind the solution of the given differential equation: cos 2y 3xy?) dæ + (cos 2y – 2xsin2y 2x' y) dy =…

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