[最も欲しかった] (d^2 9)y=(x^2 1)e^3x 243672
Misc 9 Find Particular Solution 1 E2x Dy 1 Y2 Ex
Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more Solve (4D^2 16D 15) y = 4e^(3/2)x differential equations asked in Differential Equations by AbhijeetKumar ( 503k points) differential equations
(d^2 9)y=(x^2 1)e^3x
(d^2 9)y=(x^2 1)e^3x-Simple and best practice solution for (D^29)y=e^2x equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, soGiven the equation $$9 y{\left(x \right)} \frac{d^{2}}{d x^{2}} y{\left(x \right)} = \left(x^{2} 1\right) e^{3 x}$$ This differential equation has the form
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Take the square root of 4 y e 2 x 4 y V e 3 x y 2 Multiply 2 times y Multiply 2 times y Now solve the equation D=\frac {5y±\sqrt {y\left (y4Ve^ {3x}4e^ {2x}\right)}} {2y} when ± is plus Add 5y to \sqrt {y\left (4e^ {2x}4Ve^ {3x}y\right)}D^ {2}y4Dy=2xe^ {3x}3e^ {x}\cos (2x)3y Subtract 3y from both sides yD^ {2}\left (4y\right)D=3\cos (2x)e^ {x}2xe^ {3x}3y Quadratic equations such as this one can be solved by completing the square In order to complete the square,Mumbai University > First Year Engineering > sem 2 > Applied Maths 2 Marks 8 Year 13
Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more(b) Let y_p = Ax^m e^3x be a particular solution of the inhomogeneous equation Find by calculation the value of m and A (c) Write down the general solution of the inhomogeneous equation (d) Solve the IVP for the
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D^ {2}y9y=e^ {3x}\cos (x) D 2 y − 9 y = e 3 x c o s ( x) Add 9y to both sides Add 9 y to both sides D^ {2}y=e^ {3x}\cos (x)9y D 2 y = e 3 x c o s ( x) 9 y Divide both sides by y Divide both sides by y \frac {yD^ {2}} {y}=\frac {\cos (x)e^ {3x}9y} {y} Yes operators are not COMMUTATIVE when applied to variables coefficients and functions so respect the order Otherwise you will end with an incomplete particular solution So the order should be for the second term $$\dfrac 1 {D^29}2D\dfrac 1{D^29}\sin(3x)$$
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