y "-7y + 10y = 9cos (t) + 7sin (t), y (0) = 5, y '(0) = - 4, Solve the initial value problem using the Laplace transform method. %3D %3D Use the editor to format your answer

®[6.4] Using the Laplace transform to solve IVP. yu t16y= 43(t-37) H10)=2 , y'0) =0 y10)%=D2 %3D 3D0

Use laplace transformation to solve the following differential euqations. Show all the steps (including partial fraction  or complering square ) when finding inverse laplace transformation. Do not use computer to slove this . How all the steps. refer to the number in the laplace table that you are using . y''+y=&(t-2pi) y(0)=0 and y'(0)=0 ANSWER SHOULD BE CLEAR. STEP BY STEP

3. Describe each of the following transformations on y = x2. а. у%3D2x2 b. у%3 (x/3)2 С. у %3D 0.5х2 d. y = (4x)2 %D