SLOVE 12. Differential equation: dr (180r)i + (180t – 16r²)j dt Initial condition: r(0) = 100j

Q: Solve the separable differential equation Subject to the initial condition: y(0) = 9. y = 11x -…

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Q: dy For the linear differential equation: dx 3x3 + sinx + 8y, calculate the integration factor.

A: we are given a linear differential equation dydx=3x3+sinx+8y we have to find the integrating factor…

Q: (2xy + 3y²) dx – (2xy + x²) dy = 0 .. [VARIABLE SEPARABLE/HOMOGENEOUS |

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Q: dy equation dx (6) Solve the Non-homogeneous differential x – y + 12 2т — 2у + 10 - -

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Q: Determine which is the pure time differential equation, which is the autonomous differential and…

A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

Q: y" - y' - 2y = 0

A: Given the differential equation is y" - y' - 2y = 0. Here the auxiliary equation is m2 - m - 2 = 0

Q: inal answer can be left as an integral. A. y(-1) = 0. 3. y(0) = 0. y' - y = 1 t+1

A: A differential equation of the form is called linear differential equation and integrating factor…

Q: erential equation: an y = x2. If y(0) e value (corrected up fy(1)?

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Q: dy dx For the first order differential equation + 2xy = sin(x), what a the coefficient functions…

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Q: Find the Homogeneous Differential Equation of: (x2-xy+y2)dx + xydy=0

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Q: A- Solve the differential equation: x² -x+ 5y = 0 dx2 dx dz and dx dy given B- Find dz z = xy² +…

A: Q5: A)   given differential equation is…

Q: lve the following partial differential equation by using Lagrange method: du = -(x² – y²) du

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Q: (2.) Find the general solution to y' + 2ty = 5t.

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

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Q: Consider the following differential equation: (12xy3+32ysen(xy)cos(xy))dx+N(x, y)dy=0 Calculate N…

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Q: dy Given the differential equation -x²y4 +xy=x*. The degree of this differential equation is dx 40 2…

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Q: = t?y – y + t? – 1, y (0) = 1 dt dy Solve the differential equation

A: Given: dydt=t2y-y+t2-1   We know that; ∫1ax+bdx=1alnax+b+C And The Power rule: ∫xndx=xn+1n+1+C ;…

Q: dy Given the differential equation, 2x+ 4x²y = 5e". dx i. Determine function for P(x) andQ(x). ii.…

A: Note : The differential equation given has been changed to            2xdydx+4x2y=5ex Given :…

Q: degree dy 6. dx = cos X d²y' dx2 2 (dx + 2b + y = 0 7. y" + (2y')2-y = 4x 8. 9. yy" + 2x3 = 0 10. y'…

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Q: Determine the type of differential equation given below: * 2x(у + 1)dx — уdx %3D 0

A: Given differential equation  2x(y+1)dy - ydx = 0 If the differential equation is in the form…

Q: Q-11 Find the order and degree of the d 3 - d²y \ 2 equation V - 4 = 0. dy dx - dx?

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Q: dV ... From the given differential equation: a/2gh , what does a stand for? dt (A) Area of the tank…

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Q: dy = -2x3 – 3y2 , y(0) = 4 dx The differential equation given as value at the next point using the…

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Q: Using variation of parameter solve the given differential equation: y''' + 9y'' + 26y' + 24y = 24x…

A: According to the given information, it is required to find the general solution of the given…

Q: y' = ey (2x - 4)

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Q: (e* + y)dx + (2y + x)dy = 0

A: The given differential equation is in the form:  M(x,y) dx+N(x,y) dy=0 where M=ex+y, N=2y+x So…

Q: dx = x- y + 1 dt dy = y - x + 2 dt

A: Given: dxdt=x-y+1                       1dydt=y-x+2                       2 The above system of…