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- What is the solution for the equation 2ydx+(3y-2x)dy=0 & say if what method of solution such as if it is separable, linear, exact, or etc was usedSolve the following system using the crossing-graphs method. (Round your answers to two decimal places.) 2.6x + 3.6y = −1.45 2.7x − 1.4y = 3.71 (x, y) =Identify a particular solution to y" - 2 y' + y = e ^2t that goes through the point ( 0, 2) .
- The general solution of the 3rd order equationy′′′ − y′ = 0 is given by y(x) = C1x + C2e^x + C3e^−x.The form of the particular solution yp for the DE (D^2 + D - 2)y = 2x - 40cos2x should be yp = Q + Rx + Scos2x + Tsin2x where Q, R, S and T are constants. Upon solving for yp, one of those constants is zero is it true or false?Show that the following equations: x1(t)=e-2t+2e-t x2 (t)=e-2t+e-t They are solution of the system: x'1=-2x2 x´2=x1-3x2 And find its critical points. Please be as clear as possible and show all the steps. Thank you.
- . Verify directly that y = 12 + Ce−3t satisfies y = −3(y − 12)forall C. Then find the two solutions satisfying y(0) = 20 and y(0) = 0,and sketch their graphs.24) , Find the solution to y' = 2 y satisfying y(0) = 15. PLEASE SHOW STEP BY STEPthe value of lambda such that y=e^lambda*x is a solution of y''x-4y'+20=0 as: could you help me correctly solve this.