Find the general solution of the ODE. - y" - y' - 12y = 2xe-³x — ex

Q: Solve the ODE  y'+(1/x)y-ex=0, when x>0

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Q: Differentiate. h(r)= 2-2r-3 9r-5 O A. h'(r) = OB. h'(r)= gr² +8r+37 (9r-5)² O D. h'(r) = 9r²-10r+37…

A: given function

Q: 3 1 1+ dx = - x2

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Q: If y − x1000, then y'− 1000x 999.

A: Given- If y=x1000 then y'=1000x999. To Check- The above statement is correct or not. Identity Used-…

Q: solve for E(Rm) E(Ri) = Rf + [E(RM) – Rf] × bi        .109 = .028 + [E(RM) – .028](.90)

A: Given : E(Ri) = Rf + [E(RM) – Rf] × bi        .109 = .028 + [E(RM) – .028](.90)

Q: 9y" + 25y = 0; y(37/10) = 0, y'(3x/10) = 3. %3D O a. y3-cos(음) O b. y = c cos(x) + cz sin() Oc…

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Q: Find Solution of Homogeneous linear ODE s (D°, 60 +131 Jy

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Q: Help

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Q: The general solution of the 1st-order ODE, y' x² = Select one: a. y(x) = 2xx C+x b. y(x) = 2x -2² Cx…

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Q: Obtain general solution of ODE y''-y=exp(x) + cos(2x)

A: Step 1. Homogeneous Solution (y_h):We start by assuming the solution for the homogeneous equation…

Q: 2x³y' = y(2x² - y²)

A: We have to solve the given ordinary differential equation.