The order and degree of the differential equation + A - 2xy x are respectively a. 4,1 b. 4, 3 с. 3,4 d. 3, 5

Q: Zad. 2. Give an example of a differential equation whose solutions are functions of the form…

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Q: dªy d²y d³y + dt4 dy + y = 1 dt dt3 dt2

A: Given that, the differential equation is                     d4ydt4+d3ydt3+d2ydt2+dydt+y=1 The order…

Q: Solve the equation by the method o f linear differential equations dx (1-3xy) y² dy xy³ = ² + C yx³…

A: The given problem is to solve the given ordinary differential equation by the method of linear…

Q: Test whether the differential equation is exact: (e2y – ycosxy)dx + (2xe2y – xcosxy+ 2y)dy = 0 Find…

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Q: (3+ 5x²y3 + 4xy + 3y³)dx + xy²(3 + 4xy + 3x²)dy = 0 %3D

A: The given equation is 3+5x2y3+4xy4+3y3dx+xy23+4xy+3x2dy=0 the equation is of the type Mdx+Ndy=0…

Q: (4D58D4 17D³ + 12D² +9D)y = 0 -

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Q: Q2. Solve the following differential equation by variation of parameters: d²y x3 dx² +6x³. dy dx -3x…

A: Sol

Q: Solve the differential equation: (D5 + D* – 7D³ – 11D² – 8D – 12)y = 0

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Q: Which of the following equations is non homogeneous differential equation? O a. dz = (z + y)? O b.…

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Q: d¹y dx4 d²y 2 zxp 0= h +

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Q: 1J at. Solve the following differential equation:y-5y-0, y(0) =5. voo-3e-2

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Q: Given the function y₁ = x² is a solution to the differential equation x²y" - 3xy' + 4y = 0, find a…

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Q: dºu d5u + 6 dv5 dªu d³u 48 dv3 d²u 81 dv2 du 54 dv dv6 dv4 81u = 0

A: Given: d6udv6+6d5udv5+d4udv4-48d3udv3-81d2udv2-54dudv-81u=0 So, we can also write as:…

Q: dy +y =2+2x dx

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Q: 2. xdy – ydx – Vx² + y² dx = 0²

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Q: If z = -4x² + 2y² + 5y, find the differential dz. You should have variables dx, dy, y, and x in your…

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Q: Determine the degree of this differential equation: + ( - 3+y = 9 a²y ... dx3 dx2 dx None of the…

A: We know that dydx=y' and d2yd2x=y'' and so onThe given differential equation can be written as:…

Q: b. (3xy3 + 4y)dx + (3x?y² + 2x)dy = 0; when x = 1, y = 1

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Q: Find the Wronskian for the differential equation dy dy 3- - 10y = 0 d.x - - dx? .A -3e30 .B 3e-3x .C…

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Q: Determine whether the differential equation (7x² - 2xy + 8) dx + (2y² = x² + 7) dy = 0 is exact. If…

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Q: Find the differential equation having the solution as: a. y = C,e¬x + C2e¬2x + x b. y = C, + C2e³x

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Q: a. (x² – 4x – 4)(y² + 1)dx + 2y(x³ – 2x² + 4x – 8)dy = 0;

A: a. Given,                (x2-4x-4)(y2+1)dx+2y(x3-2x2+4x-8)dy=0    and     x=4, y=1.

Q: Fill in the blank. The symbols C, , C,, and k represent constants. d2 (C, sin kx + C, cos kx) =…

A: ddx(1+coskx+cosinkx)=−c1k⋅sinkx+c2kcoskxddxddx(−c1coskx+c2sinkx)=ddx−c1ksinkx+c2kcoskx)=−c1k2coskx-c…

Q: Find the differential equation whoce is y= C1e-1% + solution = Czc-9x. + C2e 6x

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: 2. (4x + 3)ydx + 4y²dx = 0

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