Advanced Math Archive: Questions from June 23, 2023
-
1- Which of the following transformations homogenizes the differential equation 2x-y+1? x-2y+1 y' = - a> x= x₁ + ²/², y = ₁ - a) b) x = x₁-², y = y₁ + ²/ 3 90 x = x₁-², y = ₁ + ²
Which of the following transformations homogenizes the differential equation \[ y^{\prime}=\frac{2 x-y+1}{x-2 y+1} ? \] \( x=x_{1}+\frac{1}{3}, y=y_{1}-\frac{1}{3} \) b) \( x=x_{1}-\frac{1}{3}, y=y_{12 answers -
0 answers
-
2 answers
-
1. Solve using Laplace transforms \[ \begin{aligned} y^{\prime \prime}-4 y & =3 e^{t} \\ y(0) & =2 \\ y^{\prime}(0) & =-3 \end{aligned} \]2 answers -
(a) Solve \( x^{2} \frac{d^{2} y}{d x^{2}}-x \frac{d y}{d x}+y=\left[\frac{\log x}{x}\right]^{2} \). (b) Solve \( (3 x+2)^{2} \frac{d^{2} y}{d x^{2}}+3(3 x+2) \frac{d y}{d x}-36 y=3 x^{2}+4 x+1 \).0 answers -
(a) Solve by method of variation of parameters \( y^{\prime \prime}-\frac{4}{x} y^{\prime}+\frac{4}{x^{2}} y=x^{2}+1 \). (b) Solve \( \left(D^{2}+4\right) y=e^{x}+\sin 2 x+\cos 2 x \).2 answers -
2 answers
-
2. If \( A=2 i-j-k, B=2 i-3 j+k, C=j+k \) Find a) \( (A \cdot B) C \) b) \( (A \times B) \bullet C \)2 answers -
1 answer
-
1 answer
-
1 answer
-
1 answer
-
2 answers
-
0 answers
-
2 answers
-
2 answers
-
1 answer
-
2 answers
-
1 answer
-
2 answers
-
2 answers
-
0 answers
-
1 answer
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
1 answer
-
2 answers
-
2 answers
-
0 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
0 answers
-
2 answers
-
2 answers
-
2 answers
-
0 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
0 answers
-
2 answers
-
2 answers
-
2 answers
-
0 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
0 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
0 answers
-
2 answers
-
2 answers
-
Encuentra la ecuación del plano tangente a z=ex+y+y5+5 z=ex+y+y5+5 en el punto (0,5,3136)(0,5,3136).2 answers
-
0 answers
-
2 answers
-
2 answers
-
2 answers
-
0 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers