find the general solution 1. (D^2 − 3D + 2)y = 5e^2x

Q: Solve for the general solution: (D² + 2D - 8)y = C O y = cle^(4x) + c2e^(-2x) O y = cle^(-4x) +…

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Q: Find the general solution: (x^2D^2 + 6xD + 6I)y = x^2

A: Find the general solution: (x^2D^2 + 6xD + 6I)y = x^2 Given D.E., x2D2+6xD+6)y=x2⋯(1) which is…

Q: Solve using undetermined coefficients: (D^4 + 4D^2)y = 48x + 96sin2x

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Q: Solve for the particular solution: (D³ - 5D² + 4D)y = 12x² - 38x +4 yp = -3x^2 + 2x + 3 О yp = x^3 -…

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Q: dx A D +C 3 B.

A: The given integral,        ∫e4x+1e2xdx

Q: Find the solution of HLDECC: (4D^5-23D^3-33D^2-17D-3)y=0 the answer should be y=e^(-x)…

A: Given that the differential equation (4D5-23D3-33D2-17D-3)y=0. Find the solution of the given…

Q: dy −2r — 9 (a) Show that = dx x + 2y (b) Find the two points where the curve given by the original…

A: Given- Consider the equation x2 + xy + y2 = 19.  To find-  Show that dydx = -2x - yx + 2y.  Find…

Q: What's y=-×^2+2×+10 is ?

A: The equation is y=-x2+2x+10. The above equation is in the form of equation of parabola.

Q: x^(2)+y^(2)=25 8 units left and 4 units down

A: Given Equation:- x2+y2=25

Q: Which equation is the general form of (x−2)2−(y+5)2=18?   x^2−y^2−4x−10y=1   x^2−y^2−4x−25y=11…

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Q: D^(3+1) (D-2)^(7+1) y = 48e^2x

A: Put D=m then solve it.

Q: Solve for the general solution: x^(-4)= k(y^2+ x^2) x^4-k(y^2+ x^2) x^8-k(y^4 + x^4) O x^(-8)=k(y^4+…

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Q: Solve for the particular solution: (D2 - 5D + 6y) = 6x²-4x+9. O yp= -(1/6)x^2-x-2/3 O yp = x^2+x+2 O…

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Q: 5. a) Find the volume of the solid bounded by the paraboloid z= 2(x? + y²) +3 and the cylinder x? +…

A: (a)  Find the volume of the solid bounded by the paraboloid z=2x2+y2+3 and the cylinder x2+y2=1 and…

Q: Find the negative and positive root of -20x^2+28x+36=0 using secant method.

A: Given: -20x2+28x+36=0 To find: Positive and negative root using secant method.

Q: Solve (D^2+2D-1)y=0

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Q: Solve for X and Y in the simultaneous equations below;   S^2X+SX+SY=S S^2Y+SY-4SX=-S

A: for the value of X and Y ,solve the given two equation ....

Q: (²x² (2x²-3x + 1) (x² +1)* a @y=x²e²

A: The given function is: y=xxe2x2-3x+1x2+112

Q: Find 2dx x² + 8x + 17 Find dx xV5x2 – 3

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Q: Solve the DE problem: (D^4 + 4D^3 + 6D^2 + 4D + 1)y = 0

A: Topic = Differential equation

Q: X=y^2+2y+4 and x=4

A: The given equations are: x=y2+2y+4x=4 We need to solve the given equations. Substituting x=4 in the…

Q: Find a real general solution x^2y"−20y=0

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Q: y = x^{2} - 7x + 6 Rewrite the given quadratic function in the form y = a(x − h)^{2} + k

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Q: When x= 4 , y = 2 , and z = 3 , what is the value of x^2 + 2y^2 + 3z^2 + 4?

A: We have to find