Suppose you want to find an equation for a curve that passes through the point (1, 2x3 2) and whose slope at any point (x, y) is OA. You'd solve the differential equation Solving this differential equation with the initial condition, you get: B. C. Op D. O E. 2p2 = x4+7 v2 = 2x4+2 p² = x4 +3 - 2x³ ²4+4 ²x4+3 with initial condition y(1) = 2.

Q: Solve the differential equation 18y dy 12x + 10 da 9y= 4x + 10x + C 9y? = 14x2 + C 9y? = 10x + C %3D…

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Q: dy 3 1 +-y = 27y3 Inx, x > 0 dx

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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 given differential equation by undetermined coefficients. begin mathsize 16px style y…

A: The solution is shown below-

Q: 3. Consider the equation (3x2 + 3y? + 6) dx + (kxy + 8y³ + 1) dy = 0. (a) Determine the value of the…

A: The solution is given as

Q: Solve the differential equation; yy + 25x = 0 %3D

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Q: For the differential equation given below, variable. d²x dr2 + kx=Acost is the independent variable…

A: Given :d2xdt2+kx=Acost

Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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Q: (а) Consider the following equation: xy dy – (3x² + 4y²) dx = 0 | (1) State the order of the…

A: Questions from differential equations.

Q: Solve the general solution of the following linear differential equation: (y-cos²x) dx + cosxdy = 0

A: Given (y-cos2x)dx+cosxdy=0To find general solution:

Q: (D²+4)y= 4csc³2x (by Variation of Parameter

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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: dy Q.2 Solve x/1+ y² + yv1 +x² = 0. dx

A: The expression is x1+y2+y1+x2dydx=0 Multiply both sides by 11+x2·1+y2…

Q: y(4) 4х + 2хе %3D

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Q: (2xy + x² + x*)dx – (1+ x²)dy = 0

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Q: QA: Solve the following differential equation: ² + 3 + 2y = 10e³x + 4x² dx² dx

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